SECTION 2.6 Ratio, Proportion, and Percent^135

NOW TRY
EXERCISE 8
Solve each problem.

(a)What is 20% of 70?

(b)40% of what number
is 130?

(c)121 is what percent
of 484?

(c) 90 is what percent of 360?

90 is what percent of 360?

90 p 360 Write the percent equation.

Divide by 360.

Simplify. Write 0.25 as a percent.

Thus, 90 is 25%of 360. NOW TRY

Solving Applied Percent Problems

Solve each problem.

(a)A DVD with a regular price of $18 is on sale this week at 22% off. Find the

amount of the discount and the sale price of the disc.

The discount is 22% of 18, so we must find the number that is 22% of 18.

What number is 22% of 18?

n 0.22 18 Write the percent equation.

Multiply.

The discount is $3.96, so the sale price is found by subtracting.

$18.00 $3.96 $14.04 Original price discount sales price

(b)A newspaper ad offered a set of tires at a sales price of $258. The regular price

was $300. What percent of the regular price was the savings?

The savings amounted to $300 $258 $42. We can now restate the

problem: What percent of 300 is 42?

What percent of 300 is 42?

p 300 42 Write the percent equation.

Divide by 300.

Simplify. Write 0.14 as a percent.

The sale price represents a 14% savings. NOW TRY

p= 0.14, or 14%

p=

42

300

=

- =

- = - =

n=3.96

= #

EXAMPLE 9

0.25= p, or 25%= p

90

360

=p

= #

NOW TRY
EXERCISE 9
A winter coat is on a clearance
sale for $48. The regular price
is $120. What percent of the
regular price is the savings?

NOW TRY ANSWERS

8. (a) 14 (b) 325 (c)25%


9. 60%

Complete solution available
on the Video Resources on DVD

2.6 EXERCISES

1.Concept Check Match each ratio in

Column I with the ratio equivalent to it

in Column II.

III

(a)75 to 100 A.80 to 100

(b)5 to 4 B.50 to 100

(c) C.3 to 4

(d)4 to 5 D. 15 to 12

1

2

2.Which one of the following represents

a ratio of 3 days to 2 weeks?

A. B.

C. D.

3

14

1.5

1

3

7

3

2