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Workplace and Apprenticeship 10

Unit 1 – Proportional Reasoning

WA10.10 Apply proportional reasoning to solve problems involving unit pricing and currency exchange.

* Adapted from Pacific Educational Press MathWorks 10

WA10 – Unit 1 - Proportional Reasoning Key Terms

Date: _______________

Key Terms Buying Rate – The rate at which a currency exchange buys money from customers. Currency – The system of money a country uses Exchange rate – The price of one country’s currency in terms of another nation’s currency. Markup – The difference between the amount a dealer sells a product for and the amount he or she is paid for it. Percent – means “out of 100”; a percentage is a ratio in which the denominator is 100 Promotion – An activity that increases awareness of a product or attracts customers Proportion – A fractional statement of equality between two ratios or rates Rate – A comparison between two numbers with different units Ratio – A comparison between two numbers with the same units Selling rate – The rate at which a currency exchange sells money to its customers. Unit Price – The cost of one unit; a rate expressed as a fraction in which the denominator is 1 Unit Rate – The rate or cost of one item or unit Proportional Reasoning – The ability to understand and compare quantities that are related multiplicatively

WA 10 – Unit 1 – Proportional Reasoning Lesson 1 – Ratio

Date: _______________

Lesson 1 – Ratio A ratio compares two numbers that are measured by the same units and can be written in several different ways. Simplifying Ratios with your Calculator 1) Type your first number in 2) Push the Abc button on your calculator 3) Type your second number in 4) Press Equal 5) If it is a mixed fraction push 2nd Function then Abc again Example 1:

4

16 12

3 28

75

15

21 8

18 45

100

20:50 3:21 56:7


Date: _______________

Creating a Ratio 1) Decide if your units are the same 2) Set up your ratio as what you are comparing Example 2: Charles works as a cook in a restaurant. His chicken soup recipe contains 11 cups of broth, 5 cups of diced veggies, 3 cups of rice and 3 cups of chopped chicken. He wants to make a smaller recipe at home. To reduce the recipe, he needs to know what the ratios are between the quantities of ingredients. a) What is the ratio of veggies to chicken? b) What is the ratio of broth to veggies? c) What is the ratio of chicken to rice? d) What is the ratio of the chicken to the total ingredients in the recipe?

WA 10 – Unit 1 – Proportional Reasoning Lesson 2 – Proportional Reasoning

Big Question: 1) What is Proportional Reasoning?

Date: _______________

Lesson 2 – Proportional Reasoning Proportion – A fractional statement of equality between two ratios or rates Proportional Reasoning – The ability to understand and compare quantities that are related multiplicatively Proportional Reasoning 1) Multiply by a denominator to x by its self 2) Divide to get x by itself (If you forget, you can remember to cross multiply and divide) Example 1:

3

4 16

x

2 16

5 x

5

5 25

x

Setting up a Proportion 1) Set up a ratio as a fraction 2) Set up a second ratio equal to the first fraction 3) If you are solving for an unknown, put x in the place of the unknown ** REMEMBER ** Keep your ratio the same on the top and bottom in both ratios Example 2: If a carpenter bonds two pieces of wood with epoxy resin, she must first mix the epoxy with a hardener. She mixes these materials in a ratio of 10 to 1, where there is 10 parts of epoxy to

1 part of hardener. This ratio can be written as 10:1 or as a fraction, 10

1. If the carpenter wants to

use 150 parts of epoxy, how many part of hardener would she need?



Date: _______________

Example 3: You are in charge of making punch for party. To make one batch of punch you need 2 cups of juice and 5 cups of sprite. How many cups of sprite do you need to make 28 cups of punch? Example 4: John has found that he can arrange the work cubicles of his employees’ best if the ratio between the length and width of a room is 3:2. If a room is 6 meters long, how wide should the room be?

WA20 – Unit 1 – Proportional Reasoning Date: _____________ Lesson 1 and 2 – Rates and Proportions Name: ____________


Lesson 1 and 2 – Worksheet 1

Solve for x.

1. 40

10 50

x 2.

12 18

16 x

3. 56

64 8

x 4.

18 36

27 x

5. 3

2056 4

x 6.

3 15

12 x

7. 3

5 460

x 8.

25 40

200x

WA 10 – Unit 1 – Proportional Reasoning Lesson 3 - Rate

Date: _______________

Lesson 3 - Rate A rate is similar to a ratio, but it compares two numbers with different units. For example:

- Words per minute - Kilometers per hour - Sandwiches sold per day - Price of lumber per linear foot - Dollars made per hour

Setting Up a Rate 1) Set up the same as a ratio 2) Be careful to keep the tops and bottoms the same ** REMEMBER ** You must include the unit for a rate Example 1: If salmon costs $1.89 for 100 g, how much will it cost to buy 250 g of salmon? Example 2: A local plumbing store sells 100 copper-plated pipe straps for $4.97. You have estimated that you require 75 straps. How much will you pay for 75 straps?


Date: _______________

Example 3: The amount of fuel consumed by a vehicle when it is driven 100 km is referred to as the rate of fuel consumption. Write a rate statement that indicates that a car uses 6.3 litres of gas for every 100 km driven. Example 4: If you earn $150.00 in 12 hours, how much will you earn if you work 40 hours. Example 5: You are driving on the highway at 110 km/h. If your destination is 165 km away, how many hours will you have to drive?

W20 – Unit 1 – Proportional Reasoning Date: _____________ Lesson 2 and 3 – Proportional Reasoning and Rate Name: ____________

Lesson 2 and 3 - Worksheet

1. On a bicycle with more than one gear, the ratio between the number of teeth on the front gear and the number of teeth on the back gear determines how easy it is to pedal. If the front gear has 30 teeth and the back gear has 10 teeth, what is the ratio of front teeth to back teeth?

2. Some conveyor belts have two pulleys. If one pulley has a diameter of 45 cm and another has a diameter of 20 cm, what is the ratio of the smaller diameter to the larger diameter?

3. A mechanic mixes oil with gas to lubricate the cylinders in a motorcycle engine. He uses 1 part oil and 32 parts gas. What is the ratio of gas to oil?

4. For a silk screening project, Jan mixes a shade or orange ink. She uses a ratio of red in to yellow ink of 2:3 and yellow ink to white ink of 3:1.

a) How many mL of yellow ink would she need if she used 500mL of white ink?

b) How many mL of red ink would she need if she used 750 mL of yellow ink?

5. The ratio of flour to shortening in a recipe for piecrust is 2:1. If a baker makes 30 cups of piecrust, how many cups of flour and shortening does he use?

6. A compound of two chemicals is mixed in the ratio of 3:10. If there are 45 L of the compound, how much of each chemical is in the mixture?


7. Cheryl is an automotive repair technician. She mixes paint and thinner to apply to a bus. The instructions say to mix paint with thinner in the ratio of 5:3. If Cheryl has 7 L of paint, how much thinner does she need?

8. Write a rate statement that indicates that you earned $65.00 interest on your investment in the last 3 months.

9. Write a rate statement that indicates how much you earn in an 8-hour day if you are paid $9.25 for each hour you work.

10. Write a rate statement that indicates that 1 cm on a map represent 2500 km in real distance.

11. If a type of salami at the deli costs $1.59 per 100 g, how much will you pay for 350 g?

12. As a janitor, Janine make a cleaning solution by mixing 30 g of concentrated powdered cleanser into 2 L of water. How much powder will she need for 5 L of water?

13. An office has decided to track how much paper it uses to reduce waste. At the end of each month, the secretary records the total number of sheets used and their weight. If paper weights 4.9 kg for every 500 sheets, how much will 700 sheets weigh?

WA 10 – Unit 1 – Proportional Reasoning Lesson 4 – Unit Price

Big Question: 2) How do you compare the prices of two or more items?

6) What is unit pricing?

Date: _______________

Lesson 4 – Unit Price Unit price – the cost of one unit; expressed as a fraction in which the denominator is 1. Written as money. Unit rate – the rate or cost for one item our unit. Written as a rate with units. Finding Unit Price 1) Set up ratio cost _

number of items 2) Set this equal to a ratio with 1 item 3) Solve for x Example 1: You decide to buy a package of 4 rolls of toilet paper for $2.68. How much does it cost per roll? Example 2: Rosa buys a package of pens for $6.25. There are 12 pens in a box. What is the unit price? Example 3: To pick a pint basket (0.5506 L) of raspberries is will cost $1.50. How much would it cost to pick a 4 L pail of raspberries?




Date: _______________

Finding the Best Deal Different brands may package their products in different sizes. Comparing each item’s unit price will tell you which package is the best deal. Example 4: Complete the chart.

Item Items/pack Brand A

Unit Price

Brand B Unit Price

Light Bulbs 4 $2.29 $2.99

Paper Towels 6 $6.49 $9.29

Garbage Bags

20 $8.79 $7.48

Sponges 5 $7.95 $7.69

Example 5: A 48-oz. can of tomatoes costs $2.99. An18-oz. can costs $1.19. Which is can is a better buy? Example 6: It costs $8.42 to purchase one meter of fabric. How much will it cost to buy 0.5 m of fabric? 1.75 m of fabric?

WA 10 – Unit 1 – Proportional Reasoning Lesson 5 – Percent

Big Question: 4) How do you calculate percent?

Date: _______________

Lesson 5 – Percent Percentage – a ratio with a denominator of 100; percent (%) means “out of 100” Converting Percent to Decimal 1) Put your percent into a ratio out of 100 2) Divide your denominator by your numerator

(If you forget, you can always move the decimal two places to the left) Example 1: 65% 6.5%

650% 0.65%

Finding Percent 1) Set up your ratio as ____ of ____ 2) Set up a proportion equal to a percent 3) Solve for x

(If you forget, divide your denominator by numerator and multiply by 100)

Example 2: What percent is 5 out of 20? Percentage of Numbers 1) Set up a ratio of your percent 2) Set up a proportion with your percent and your total number 3) Solve for x

(If you forget, convert your percent to a decimal and multiply)

Example 3: What is 20% of 45?



Date: _______________

Workplace and Apprenticeship 10

Unit 1 – Proportional Reasoning

WA10.10 Apply proportional reasoning to solve problems involving unit pricing and currency exchange.

* Adapted from Pacific Educational Press MathWorks 10

WA10 – Unit 1 - Proportional Reasoning Key Terms


Date: _______________

Key Terms Buying Rate – The rate at which a currency exchange buys money from customers. Currency – The system of money a country uses Exchange rate – The price of one country’s currency in terms of another nation’s currency. Markup – The difference between the amount a dealer sells a product for and the amount he or she is paid for it. Percent – means “out of 100”; a percentage is a ratio in which the denominator is 100 Promotion – An activity that increases awareness of a product or attracts customers Proportion – A fractional statement of equality between two ratios or rates Rate – A comparison between two numbers with different units Ratio – A comparison between two numbers with the same units Selling rate – The rate at which a currency exchange sells money to its customers. Unit Price – The cost of one unit; a rate expressed as a fraction in which the denominator is 1 Unit Rate – The rate or cost of one item or unit Proportional Reasoning – The ability to understand and compare quantities that are related multiplicatively



Date: _______________

Lesson 1 – Ratio A ratio compares two numbers that are measured by the same units and can be written in several different ways. Simplifying Ratios with your Calculator 1) Type your first number in 2) Push the Abc button on your calculator 3) Type your second number in 4) Press Equal 5) If it is a mixed fraction push 2nd Function then Abc again Example 1:

4

16 12

3 28

75

15

21 8

18 45

100

20:50 3:21 56:7



Date: _______________

Creating a Ratio 1) Decide if your units are the same 2) Set up your ratio as what you are comparing Example 2: Charles works as a cook in a restaurant. His chicken soup recipe contains 11 cups of broth, 5 cups of diced veggies, 3 cups of rice and 3 cups of chopped chicken. He wants to make a smaller recipe at home. To reduce the recipe, he needs to know what the ratios are between the quantities of ingredients. a) What is the ratio of veggies to chicken? b) What is the ratio of broth to veggies? c) What is the ratio of chicken to rice? d) What is the ratio of the chicken to the total ingredients in the recipe?



Date: _______________

Lesson 2 – Proportional Reasoning Proportion – A fractional statement of equality between two ratios or rates Proportional Reasoning – The ability to understand and compare quantities that are related multiplicatively Proportional Reasoning 1) Multiply by a denominator to x by its self 2) Divide to get x by itself (If you forget, you can remember to cross multiply and divide) Example 1:

3

4 16

x

2 16

5 x

5

5 25

x

Setting up a Proportion 1) Set up a ratio as a fraction 2) Set up a second ratio equal to the first fraction 3) If you are solving for an unknown, put x in the place of the unknown ** REMEMBER ** Keep your ratio the same on the top and bottom in both ratios Example 2: If a carpenter bonds two pieces of wood with epoxy resin, she must first mix the epoxy with a hardener. She mixes these materials in a ratio of 10 to 1, where there is 10 parts of epoxy to

1 part of hardener. This ratio can be written as 10:1 or as a fraction, 10

1. If the carpenter wants to

use 150 parts of epoxy, how many part of hardener would she need?



Date: _______________

Example 3: You are in charge of making punch for party. To make one batch of punch you need 2 cups of juice and 5 cups of sprite. How many cups of sprite do you need to make 28 cups of punch? Example 4: John has found that he can arrange the work cubicles of his employees’ best if the ratio between the length and width of a room is 3:2. If a room is 6 meters long, how wide should the room be?

WA20 – Unit 1 – Proportional Reasoning Date: _____________ Lesson 1 and 2 – Rates and Proportions Name: ____________


Lesson 1 and 2 – Worksheet 1

Solve for x.

1. 40

10 50

x 2.

12 18

16 x

3. 56

64 8

x 4.

18 36

27 x

5. 3

2056 4

x 6.

3 15

12 x

7. 3

5 460

x 8.

25 40

200x


Date: _______________

Lesson 3 - Rate A rate is similar to a ratio, but it compares two numbers with different units. For example:

- Words per minute - Kilometers per hour - Sandwiches sold per day - Price of lumber per linear foot - Dollars made per hour

Setting Up a Rate 1) Set up the same as a ratio 2) Be careful to keep the tops and bottoms the same ** REMEMBER ** You must include the unit for a rate Example 1: If salmon costs $1.89 for 100 g, how much will it cost to buy 250 g of salmon? Example 2: A local plumbing store sells 100 copper-plated pipe straps for $4.97. You have estimated that you require 75 straps. How much will you pay for 75 straps?


Date: _______________

Example 3: The amount of fuel consumed by a vehicle when it is driven 100 km is referred to as the rate of fuel consumption. Write a rate statement that indicates that a car uses 6.3 litres of gas for every 100 km driven. Example 4: If you earn $150.00 in 12 hours, how much will you earn if you work 40 hours. Example 5: You are driving on the highway at 110 km/h. If your destination is 165 km away, how many hours will you have to drive?


Lesson 2 and 3 - Worksheet

1. On a bicycle with more than one gear, the ratio between the number of teeth on the front gear and the number of teeth on the back gear determines how easy it is to pedal. If the front gear has 30 teeth and the back gear has 10 teeth, what is the ratio of front teeth to back teeth?

2. Some conveyor belts have two pulleys. If one pulley has a diameter of 45 cm and another has a diameter of 20 cm, what is the ratio of the smaller diameter to the larger diameter?

3. A mechanic mixes oil with gas to lubricate the cylinders in a motorcycle engine. He uses 1 part oil and 32 parts gas. What is the ratio of gas to oil?

4. For a silk screening project, Jan mixes a shade or orange ink. She uses a ratio of red in to yellow ink of 2:3 and yellow ink to white ink of 3:1.

a) How many mL of yellow ink would she need if she used 500mL of white ink?

b) How many mL of red ink would she need if she used 750 mL of yellow ink?

5. The ratio of flour to shortening in a recipe for piecrust is 2:1. If a baker makes 30 cups of piecrust, how many cups of flour and shortening does he use?

6. A compound of two chemicals is mixed in the ratio of 3:10. If there are 45 L of the compound, how much of each chemical is in the mixture?


7. Cheryl is an automotive repair technician. She mixes paint and thinner to apply to a bus. The instructions say to mix paint with thinner in the ratio of 5:3. If Cheryl has 7 L of paint, how much thinner does she need?

8. Write a rate statement that indicates that you earned $65.00 interest on your investment in the last 3 months.

9. Write a rate statement that indicates how much you earn in an 8-hour day if you are paid $9.25 for each hour you work.

10. Write a rate statement that indicates that 1 cm on a map represent 2500 km in real distance.

11. If a type of salami at the deli costs $1.59 per 100 g, how much will you pay for 350 g?

12. As a janitor, Janine make a cleaning solution by mixing 30 g of concentrated powdered cleanser into 2 L of water. How much powder will she need for 5 L of water?

13. An office has decided to track how much paper it uses to reduce waste. At the end of each month, the secretary records the total number of sheets used and their weight. If paper weights 4.9 kg for every 500 sheets, how much will 700 sheets weigh?




Date: _______________

Lesson 4 – Unit Price Unit price – the cost of one unit; expressed as a fraction in which the denominator is 1. Written as money. Unit rate – the rate or cost for one item our unit. Written as a rate with units. Finding Unit Price 1) Set up ratio cost _

number of items 2) Set this equal to a ratio with 1 item 3) Solve for x Example 1: You decide to buy a package of 4 rolls of toilet paper for $2.68. How much does it cost per roll? Example 2: Rosa buys a package of pens for $6.25. There are 12 pens in a box. What is the unit price? Example 3: To pick a pint basket (0.5506 L) of raspberries is will cost $1.50. How much would it cost to pick a 4 L pail of raspberries?




Date: _______________

Finding the Best Deal Different brands may package their products in different sizes. Comparing each item’s unit price will tell you which package is the best deal. Example 4: Complete the chart.

Item Items/pack Brand A

Unit Price

Brand B Unit Price

Light Bulbs 4 $2.29 $2.99

Paper Towels 6 $6.49 $9.29

Garbage Bags

20 $8.79 $7.48

Sponges 5 $7.95 $7.69

Example 5: A 48-oz. can of tomatoes costs $2.99. An18-oz. can costs $1.19. Which is can is a better buy? Example 6: It costs $8.42 to purchase one meter of fabric. How much will it cost to buy 0.5 m of fabric? 1.75 m of fabric?



Date: _______________

Lesson 5 – Percent Percentage – a ratio with a denominator of 100; percent (%) means “out of 100” Converting Percent to Decimal 1) Put your percent into a ratio out of 100 2) Divide your denominator by your numerator

(If you forget, you can always move the decimal two places to the left) Example 1: 65% 6.5%

650% 0.65%

Finding Percent 1) Set up your ratio as ____ of ____ 2) Set up a proportion equal to a percent 3) Solve for x

(If you forget, divide your denominator by numerator and multiply by 100)

Example 2: What percent is 5 out of 20? Percentage of Numbers 1) Set up a ratio of your percent 2) Set up a proportion with your percent and your total number 3) Solve for x

(If you forget, convert your percent to a decimal and multiply)

Example 3: What is 20% of 45

WA 10 – Unit 1 – Proportional Reasoning Lesson 6 – Mark Ups and Taxes

Date: _______________

Lesson 6 – Mark Ups and Taxes

Wholesale price – the amount a store pays for an item when they buy it Retail price – the amount a store sells an item for Mark-up – the difference between the amount a business sells a product for (retail price) and the amount he or she paid for it (wholesale price) Calculating Markup 1) Calculate the percent of the mark up 2) Add the percent to the original cost Example 1: Arlene purchases fabric at a wholesale price for her store. She pays $46.00/m. She charges a markup of 20% on the fabric. What will Arlene charge her clients per meter? Example 2: Melanie owns a clothing store. Her standard markup is 85%. She bought a coat from the wholesaler at $125.00. a) What will the markup be? b) What will the retail price be?

WA 10 – Unit 1 – Proportional Reasoning Lesson 6 – Mark Ups and Taxes

Date: _______________

Sales taxes are usually added to the retail price of an item. There are three kinds of sales taxes. GST – Goods and Services Tax – 5% PST – Provincial Sales Tax

- Alberta 0% - British Columbia 7% - Manitoba 7% - Saskatchewan 5%

Northern Territories have no territorial sales tax. HST – Harmonized Sales Tax

- This is a combination of GST and PST but applied as one rate, each eastern province determines how much HST will be.

Calculating Taxes 1) Determine how much tax you will be charging (as a percent) 2) Calculate the percent of the tax 3) Add the taxes to the original cost Example 3: Quentin wants to buy a pair of boots listed at $179.95. How much will the boots cost in Alberta? Example 4: A furniture store in Saskatoon is selling a bedroom suite. The list price for the suite is $1599.00. What will the total cost be, including GST and PST?

WA10 – Unit 1 - Proportional Reasoning Date: _____________ Lesson 6 – Sales and Mark Ups Name: ____________

Lesson 6 - Worksheet

1. The markup on a bicycle in a sporting goods store is 125%. The bicycle’s wholesale price is $450.00. What is the markup in dollars?

2. Marco buys a certain brand of shampoo from a supplier at $7.25 per bottle. He sells it to his customers at a markup of 25%. What would the markup be?

3. A dress is marked up by 60%. What would the retail price of the dress be with a wholesale price of $117.45?

4. What should Max charge for a package of paper plates in his store if he bought them for $9.00 and want to make a 75% profit?

5. What would you have to pay for a jacket that is listed at $99.95 if you live in Nunavut, where the only tax is 5% GST?

WA10 – Unit 1 - Proportional Reasoning Date: _____________ Lesson 6 – Sales and Mark Ups Name: ____________

6. Find the total cost of a washing machine that is being sold for $944.98 in Saskatchewan where PST is 5% and GST is 5%.

7. Calculate the HST (12%) on a return flight from Cranbrook, BC to Vancouver, BC that costs $372.00

8. How much total tax would Krista pay on a can of Paint priced at $45.89?

9. If the markup is 125% on a certain brand of jeans that have a wholesale price of$30.00, what will the customer pay in Manitoba? Saskatchewan?

10. The markup of a restaurant meal is 250%. A meal costs $7.25 to produce. How much will the customer be charged, after markup and GST are applied?

WA 10 – Unit 1 – Proportional Reasoning Lesson 7 - Sale

Date: _______________

Lesson 7 - Sale Promotion – an activity that increases awareness of a product or attracts customers. A promotion is an incentive to buy a particular product. Promotions can come in many forms. For example: Calculating Discount 1) Calculate the percent of the discount 2) Subtract this from the original cost Example 1: Samantha wants to buy a new TV. The model she likes costs $675.95. The clerk tells her that if she waits one week, the TV will be discounted 25%. How much will Samantha save if she waits until the TV is on sale? Example 2: A gift shop is selling off summer inventory. What will be the cost of an ornament that was priced at $149.95 if the sale sign says “Reduced by 60%”?

WA 10 – Unit 1 – Proportional Reasoning Lesson 7 - Sale

Date: _______________

BOGO Deals 1) Calculate the total cost of the items at regular price 2) Calculate how much you will spend with the deal 3) Set up the proportion Sale Price Original Price 4) Divide then multiply by 100 to find the percent Example 3: Lisa specializes in selling products from the Philippines, including rattan, bamboo and palm baskets. Medium-sized bamboo baskets are regularly priced at $19.98. They are on sale, advertised as buy-one, get the second at half-price.” What is the discount rate, as a percent? Sales and Taxes 1) Calculate the discounted price 2) Calculate the GST and PST 3) Add to the discounted price Example 4: A winter jacket has a retail price of $249.95. It is now discounted 20%. How much will the jacket cost after the discount, including taxes?

WA10 – Unit 1 - Proportional Reasoning Date: _____________ Lesson 7 - Sale Name: ____________


1. How much will Jordon save on the price of a computer listed at $989.98 if it is discounted by 30%?

2. The Midtown Bakery sells day-old goods at the bakery are sold at the bakery at a discount of 60%. If the original price of a loaf of bread was $2.98, how much would you save by buying a day-old loaf? How much are you actually paying?

3. If the sale price is 25% off, what will you save if you buy a sofa regularly priced at $999.97?

4. Kerry charges $24.95 for a haircut in her salon, but gives students a 30% reduction on Thursday evenings. How much would have to pay to have your hair cut on a Thursday evening?

5. Margret manages a second-hand clothing store in Flin Flon, MB. The store advertises that if you buy 3 items, you will get 15% off the most expensive item, 20% off the second most expensive item and 30% off the cheapest item. You choose three items costing $10.00, $25.00, and $12.00. How much will you pay for the three items with tax?

6. Normally Charles charges $75.00 to paint a room. However, if he paints 3 or more rooms for you, he gives you a 15% discount. How much will he charge if he paints 4 rooms for you?

WA10 – Unit 1 - Proportional Reasoning Date: _____________ Lesson 7 - Sale Name: ____________

7. What is the percentage markdown if a $175.00 item sells for $150.00?

8. In a store opening promotion, Fred advertises T-shirts: “Buy 4 get 1 free.” If the cost of 1 T-shirt is $15.97, what is the discount rate, as a percent?

9. Cameron is buying new computers for his office. Each computer costs $789.00. He is told that if he buys 5 computers, he can get the 6th one free. What will be his percent saving compared to buying all 6 at the regular price?

10. Shelly works as an optician in Whitehorse, YT. Her store is selling last year’s glasses frames at a savings of 30%. What will you pay for frames that were originally priced at $149.00 if 5% GST is charged?

11. Nicole wants to buy a coat originally priced at $249.95. It is on sale at 25% off. How much will she pay if 5% GST and 5% PST are charged?

12. Jasmine owns a kitchen and bath fitting store. She is selling a kitchen sink at a reduction of 40% because of a scratch in the finish. The original price was $249.95. Determine the total savings to the customer. What will the customer pay including 5% GST and 5% PST? Calculate the percentage of savings.

WA 10 – Unit 1 – Proportional Reasoning Lesson 8 – Currency Exchange

Big Question: 3 What is currency exchange?

5) How do you convert currency?

Date: _______________

Lesson 8 – Currency Exchange

Different countries use different types of currency. When you travel you need to be familiar with the process of going back and forth between the currencies. Currency – The system of money a country uses Exchange rate – The price of one country’s currency in terms of another nation’s currency. Currency Exchange 1) Set up a rate of CAD dollars to a different countries currency 2) Set up a proportion to the amount you are trying to convert

**MAKE SURE** you keep the CAD in the same spot on both fractions 3) Solve for x Example 1: Lucas is travelling to the United States. Before he leaves he converts $500.00 CAD into American dollars. If one Canadian dollar is worth 0.94192 of an American dollar, how many American dollars will Lucas receive in exchange for $500.00 CAD? Example 2: One Thai baht is worth 0.023541 of a Canadian dollar. How many baths would a tourist in Thailand receive for $200.00 CAD?




Date: _______________

Exchange Rates Compared to the Canadian Dollar

Bank Buying Rate Country Currency Units Bank Selling Rate

0.950964 Australia Dollar 1.006964

1.580814 Austria Euro 1.644814

1.580814 Belgium Euro 1.644814

0.534900 Brazil Real 0.697000

0.127100 China Yuan 0.162600

0.210778 Denmark Krone 0.221778

1.996146 England Pound 2.060146

0.159300 Egypt Pound 0.217300

1.580814 European Community Euro 1.644814

1.580814 Finland Euro 1.644814

1.580814 France Euro 1.644814

1.580814 Germany Euro 1.644814

1.580814 Greece Euro 1.644814

0.128451 Hong Kong Dollar 0.133451

1.580814 Italy Euro 1.644814

0.009295 Japan Yen 0.009855

0.012510 Kenya Shilling 0.017300

0.083443 Mexico Peso 0.108443

1.5880814 Netherlands Euro 1.644814

0.748264 New Zealand Dollar 0.798264

1.996146 N. Ireland Pound 2.060146

0.194863 Norway Krone 0.205863

0.012360 Pakistan Rupee 0.019360

1.580814 Portugal Euro 1.644814

1.580814 Republic of Ireland Euro 1.644814

1.996146 Scotland Pound 2.060146

0.737280 Singapore Dollar 0.762280

1.580814 Spain Euro 1.644814

0.165558 Sweden Krona 0.175558

0.982007 Switzerland Franc 1.017007




Date: _______________

Buying Rate – The rate at which a currency exchange buys money from customers. Selling rate – The rate at which a currency exchange sells money to its customers. Buying and Selling 1) Determine if you are selling to the bank or buying from the bank 2) Use the table to find the rate for converting

- If you are selling to the bank use the left column - If you are buying from the bank use the right column

3) Set up a proportion 4) Solve for x Example 3: Anne works for an automotive parts distributor and visits Switzerland to source new products. On a given day, the bank selling rate of the Swiss franc compared to the Canadian dollar is 1.0501 and the buying rate is 1.0213. a) How many Swiss francs would Anne receive for $400.00 CAD? b) If Anne sold them back to the bank, how much would she receive? c) What would her net loss be?

0.026550 Thailand Baht 0.035120

1.004350 United States Dollar 1.038650

WA 10- Unit 1 – Proportional Reasoning Date: _____________ Lesson 8 – Currency Exchange Name: ____________




1. Ray purchased $500.00 CAD worth of parts from Hungary for use in his garage. If the exchange rate is one Canadian dollar to 180.0779 Hungarian forints (Ft), how many forints will you receive for $500.00 CAD?

2. If one Canadian dollar is worth 0.5911 British pounds sterling (£), calculate how many pounds sterling you would get for $200.00 CAD.

3. Madeline is attending a trade show in Denmark. She runs short of spending money and must convert $100.00 CAD into Danish kroner (kr). The exchange rate is 5.3541 Danish krone for one Canadian dollar. How many kroner will she receive?

4. If the exchange rate for converting a Canadian dollar to the euro is 0.7180 on a particular day, how many euros would you get for $300.00 CAD?




5. The exchange rate for converting a Canadian dollar to the Swiss franc (SFr) is 1.0542. How many Swiss francs will you get for $400.00 CAD?

6. Canada imports steel, iron, organic and inorganic chemicals from Trinidad and Tobago. The exchange rate for converting the Canadian dollar to the Trinidad and Tobago dollar is 6.1805. How many Trinidad and Tobago dollars will you get for $200.00 CAD?

7. Using the following exchange rates, calculate how much foreign currency you would receive for $200.00 CAD.

a) $1.00 CAD is worth 1.78904 Brazilian reals b) $1.00 CAD is worth 8.71137 Moroccan dirthams

c) $1.00 CAD is worth 7.72277 Ukrainian hryvnia d) $1.00 CAD is worth 3.19889 Polish zloty




8. Calculate the value in Canadian dollars of an item that costs $449.75 Singapore dollars. Assume the exchange rate for one Canadian dollar is 0.75529.

9. Henry returns home to Whale Cove, Nunavut, after a trip to Europe. On his travels he purchased a jacket for 125.98 euros. Calculate the value of Henry’s jacket in Canadian dollars. Assume that a euro is worth 1.3987 of a Canadian dollar.

10. The exchange rate between the South African rand and the Canadian dollar is 0.138469 (1 rand equals $0.138469 CAD). What is the cost in Canadian dollars of an item priced at 639.00 rand?

11. If the exchange rate of a country compared to the Canadian dollar is 0.00519, will you get more of less of their currency units when you exchange money?




12. Dianne works as a bank teller in Canmore, AB. A customer wishes to buy 250 British pounds at a rate of 1.5379 $CAD. How many Canadian dollars would the British pounds cost?

13. If the selling rate of a euro (€) is 1.4768 and the buying rate is 1.4287, how much would you lose if you exchanged $1000.00 CAD for euros and then converted them back to $CAD on the same day?

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