Lesson 6-5 Pages 288-292

Using the Percent Proportion

Lesson Check 6-4

What you will learn!How to use the percent proportion to solve problems.

PercentPercentPartPartBaseBase

What you really need to know!

In a percent proportion, one of the numbers called the part, is being compared to the whole quantity called the base. The other ratio is the percent, written as a fraction, whose base is 100.

What you really need to know!

Base

Part

100

%

What you really need to know!

OF

IS

100

%

What you really need to know!

The number after the word “of” is the base!

The number near the word “is” is the part!

Example 1:

Twenty is what percent of 25?

10025

20 p

2,000 = 25p

80 = p 80%

Example 2:

What percent of 8 is 12?

1008

12 p

1,200 = 8p

150 = p 150%

Example 3:

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

1988 through 1996 is a 9 year period. Over the 9 years, that would be 18 tournaments. Steffi won 12.

10018

12 p 1,200 = 18p

66.7 = p

66.7%

Example 4:

What number is 8.8% of 20?

100

8.8

20

n

100n = 176

n = 1.76 1.76

Example 5:

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?

100

32

600

n

100n = 19,200

n = 192

192 families

Example 6:

Seventy is 28% of what number?

100

2870

b28b = 7,000

b = 250 250

Page 291

Guided Practice

#’s 3-8

Pages 288-290 with someone at home and

study examples!

Read:

Homework: Pages 291-292

#’s 9-23 all, 25

#’s 28-41, PQ 1

Lesson Check 6-5

Page

738

Lesson 6-5

Lesson Check 6-5

Prepare for Mid-Test

Pages

316-318

#’s 6-40 even(7-39 odd-Answers in back of book)