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Ch 2.7 Percent Word Problems

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Ch 2.7Percent Word Problems

Objective:

To translate word problems involving percent and solve the resulting equation.

1) TRANSLATE each word into Math symbols

2) Use Inverse operations to solve the equation

Translations

what: variable (n)

is: equals (=)

percent: divided by (÷) 100

of: multiply ()

Example 1

What number is 54% of 200?

54

100

200

n

=

n = 108

Example 2

112% of 650 is what number?

=

n

650

112

100

728 = n

Example 3

7% of what number is 31.5?

100

7

100

7

7

100

n

=

31.5

n = 450

Example 4

150 is 60% of what number?

=

n

100

60

100

60

60

150

100

250 = n

Example 5

What percent of 20 is 5 ?

n

%

20

=

5

÷100

=

n

20

5

100

20

100

20

100

n = 25

Classwork

1) What is 25% of 56?

2) 77 is 35% of what?

3) 22% of 157 is what?

4) What percent of 135 is 36 ?

Classwork

5) What is 85% of 59?

6) 179 is 98% of what?

7) 90% of 19 is what?

8) What percent of 200 is 135 ?