Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find...

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Transcript of Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find...

Page 1: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.
Page 2: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Obj. #1: Use percent proportions to solve problems.

Example 1 Find the Percent

Example 2 Find the Percent

Example 3 Apply the Percent Proportion

Example 4 Find the Part

Example 5 Apply the Percent Proportion

Example 6 Find the Base

Page 3: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Practice and Apply

Obj. #1: Use percent proportions to solve problems

9-15 odd, 21-25 odd

(alt. 9, 13, 21, 25)

Maintaining Your Skills

29-35

Page 4: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.
Page 5: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.
Page 6: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Twenty is what percent of 25?

Twenty is being compared to 25. So, 20 is the part and 25 is the base. Let p represent the percent.

Replace a with 20 and b with 25.

Find the cross products.

Simplify.

Obj. #1: Use the percent proportion

Page 7: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Divide each side by 25.

Simplify.

Answer: 20 is 80% of 25.

Obj. #1: Use the percent proportion

Page 8: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

What percent of 8 is 12?

Twelve is being compared to 8. So, 12 is the part and 8 is the base. Let p represent the percent.

Replace a with 12 and b with 8.

Simplify.

Find the cross products.

Obj. #1: Use the percent proportion

Page 9: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Answer: 150% of 8 is 12.

Divide each side by 8.

Simplify.

Obj. #1: Use the percent proportion

Page 10: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Tennis From the years 1988 through 1996 Steffi Graf won the U.S. Open tennis championships five times and Wimbledon seven times. What percent of both tournaments combined during those years was Steffi Graf the women’s champion?

Compare the number of Steffi Graf’s wins, 12, to the total number of tournaments played, 18. Let a represent the part, 12, and let b represent the base, 18, in the percent proportion. Let p represent the percent.

Replace a with 12 and b with 18.

Obj. #1: Use the percent proportion

Page 11: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Find the cross products.

Simplify.

Divide each side by 18.

Simplify.

Answer: Steffi Graf won about 66.7% of the tournaments.

Obj. #1: Use the percent proportion

Page 12: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

What number is 8.8% of 20?

The percent is 8.8, and the base is 20. Let a represent the part.

Answer: 8.8% of 20 is 1.76.

Replace b with 20 and p with 8.8.

Find the cross products.

Simplify.

Mentally divide each side by 100.

Obj. #1: Use the percent proportion

Page 13: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.
Page 14: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Recycling At Kington Middle School, 600 students were asked if their families recycle cans and/or newspapers. 32% said they recycle both; 25% said they recycle cans; 19% said they recycle newspapers; 24% said they do not recycle. How many families recycle both cans and newspapers?

The total number of families is 600. So, 600 is the base. The percent is 32%.

To find 32% of 600, let b represent the base, 600, and let p represent the percent, 32%, in the percent proportion. Let a represent the part.

Obj. #1: Use the percent proportion

Page 15: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Replace b with 600and p with 32.

Find the cross products.

Simplify.

Mentally divide each side by 100.

Answer: 192 families recycle both cans and newspapers.

Obj. #1: Use the percent proportion

Page 16: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Seventy is 28% of what number?

The percent is 28% and the part is 70. Let b represent the base.

Replace a with 70and p with 28.

Find the cross products.

Simplify.

Obj. #1: Use the percent proportion

Page 17: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Divide each side by 28.

Simplify.

Answer: 70 is 28% of 250.

Obj. #1: Use the percent proportion

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Obj. #1: Use the percent proportion

Page 19: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Twelve is what percent of 40?

Answer: 12 is 30% of 40.

Obj. #1: Use the percent proportion

Page 20: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Answer: 175% of 20 is 35.

What percent of 20 is 35?

Obj. #1: Use the percent proportion

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Bake Sale At the school bake sale, 23 chocolate chip cookies, 18 oatmeal raisin cookies, and 7 peanut butter cookies were sold. If the sale started with a total of 90 cookies, what percent of the cookies were sold?

Answer: About 53.3% of the cookies were sold.

Obj. #1: Use the percent proportion

Page 22: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

What number is 42.5% of 90?

Answer: 42.5% of 90 is 38.25.

Obj. #1: Use the percent proportion

Page 23: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.

Market Research A survey of 500 teenagers found that 37% prefer a soft drink with dinner; 48% prefer water; and 15% prefer milk. How many of the teenagers prefer milk with dinner?

Answer: 75 teenagers prefer milk with dinner.

Obj. #1: Use the percent proportion

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Ninety is 24% of what number?

Answer: 90 is 24% of 375.

Obj. #1: Use the percent proportion

Page 25: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.
Page 26: Splash Screen Lesson 5 Contents Obj. #1: Use percent proportions to solve problems.. Example 1Find the Percent Example 2Find the Percent Example 3Apply.