Basic Mathematics for College Students

CONCEPTS

9. Fill in the blanks to complete the percent equation
   (formula):
   percent 
   or
   Part 


10. a. Without doing the calculation, tell whether 12%
    of 55 is more than 55 or less than 55.
    b. Without doing the calculation, tell whether 120%
    of 55 is more than 55 or less than 55.


11. CANDY SALES The circle graph shows the percent
    of the total candy sales for each of four holiday seasons
    in 2008. What is the sum of all the percents?

Source:National Confectioners Association, Annual

Industry Review, 2009

12. SMARTPHONES The circle graph shows the
    percent U.S. market share for the leading smartphone
    companies. What is the sum of all the percents?

NOTATION

13. When computing with percents, we must change the
    percent to a decimal or a fraction. Change each
    percent to a decimal.
    a. 12%
    b. 5.6%
    c. 125%

d.

1

4

%

U.S. Smartphone Marketshare

39.0%

19.5%

RIM

Apple

Palm

Motorola

Nokia

Other

9.8%

7.4%

3.1%

21.2%

Percent of Total Candy Sales, 2008

Valentine’s Day

16%

Easter

29%

Halloween

34%

Christmas

21%

14. When computing with percents, we must change the
    percent to a decimal or a fraction. Change each
    percent to a fraction.

a. b.

c. d.

GUIDED PRACTICE

Translate each percent sentence to a percent equation or percent

proportion. Do not solve.See Example 1.

15. a. What number is 7% of 16?

b. 125 is what percent of 800?

c. 1 is 94% of what number?

16. a. What number is 28% of 372?

b. 9 is what percent of 21?

c. 4 is 17% of what number?

17. a. 5.4% of 99 is what number?

b. 75.1% of what number is 15?

c. What percent of 33.8 is 3.8?

18. a. 1.5% of 3 is what number?

b. 49.2% of what number is 100?

c. What percent of 100.4 is 50.2?

Translate to a percent equation or percent proportion and then

solve to find the unknown number.See Example 2.

19. What is 34% of 200?


20. What is 48% of 600?


21. What is 88% of 150?


22. What number is 52% of 350?
    Translate to a percent equation or percent proportion and then
    solve to find the unknown number.See Example 3.


23. What number is 224% of 7.9?


24. What number is 197% of 6.3?


25. What number is 105% of 23.2?


26. What number is 228% of 34.5?

83

1

3

16 %

2

3

%

66

2

3

33 %

1

3

%

530 Chapter 6 Percent