7th Grade Math

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Percents

PART A B C DE

Multi-Part

Lesson 1

GLE 0706.2.4

Use ratios, rates and

percents to solve single-

and multi-step problems

in various contexts.

SPI 0706.2.6Express the

ratio between two quantities

as a percent, and a percent

as a ratio or fraction. Also

addresses GLE 0706.1.2.

Percent and Estimation

MUSIC Refer to the graph below.

Men Women

Learning to Play an Instrument

01020

Percent

30 40 50

Private

Lessons

Lessons at

School

Taught

Self

Took School

Band/Orchestra

Taught by

Parent/Relative

Taught by

Friend

29%

40%

26%

30%

21%

12%

17%

17%

6%

6%

8%

2%

1. What fraction of women took lessons at school? If 200 women were
   surveyed, how many of them took lessons at school?


2. Use a fraction to estimate the number of men who took lessons at
   school. Assume 200 men were surveyed.

Sometimes an exact answer is not needed when using percents.

One way to estimate the percent of a number is to use a fraction.

SPORTS In a recent year, quarterback Carson Palmer completed

62% of his passes. He threw 520 passes. About how many did

he complete?

62% of 520 ≈ 60% of 520 62% ≈ 60%

≈ _^3

5

· 520 60% = _ 106 or _^35

≈ 312 Multiply.

So, Carson Palmer completed about 312 passes.

a. REPTILES Box turtles have been known to live for 120 years.

American alligators have been known to live 42% as long as box

turtles. About how long can an American alligator live?

Main Idea

Estimate percents by

using fractions and

decimals.

Multiplying Fractions

Remember to divide out

common factors.

104

_^3

5 ×^520 =^

_ 3 _

5 ×^

_^520

1 1

= 3 _ 1 × _^1041

= 312

Lesson 1C Percents 325

318_330_C06_L1_895130.indd 325 12/30/09 4:03 PM