Basic Mathematics for College Students

Chapter 6 Summary and Review 573

Express the amount of each figure that is shaded as a percent, as

a decimal, and as a fraction. Each set of squares represents

100%.

1.

2.

3. In Problem 1, what percent of the figure is not
   shaded?


4. THE INTERNET The following sentence
   appeared on a technology blog: “54 out of the top
   100 websites failed Yahoo’s performance test.”
   a. What percent of the websites failed the test?
   b. What percent of the websites passed the test?

Write each percent as a fraction.

5. 15% 6. 120% 7. 8. 0.2%

Write each percent as a decimal.

9. 27% 10. 8% 11. 655% 12. %


10. 0.75% 14. 0.23%

(^1 45)

9 14 %

Write each decimal or whole number as a percent.

15. 0.83 16. 1.625 17. 0.051 18. 6

Write each fraction as a percent.

Write each fraction as a percent. Give the exact answer and an

approximation to the nearest tenth of a percent.

23. 
    
    
    
    24. 
        
        
        
        25. 
            
            
            
            26. 
                
            
            
            
            
        
        
        
        
    
    
    
    


24. WATER DISTRIBUTION The oceans contain
    97.2% of all of the water on Earth. (Source:National
    Ground Water Association)
    a. Write this percent as a decimal.
    b. Write this percent as a fraction in simplest
    form.


25. BILL OF RIGHTS There are 27 amendments to
    the Constitution of the United States. The first ten
    are known as the Bill of Rights. What percent of the
    amendments were adopted after the Bill of Rights?
    (Round to the nearest one percent.)


26. TAXES The city of Grand Prairie, Texas, has a one-
    fourth of one percentsales tax to help fund park
    improvements.
    a. Write this percent as a decimal.
    b. Write this percent as a fraction.


27. SOCIAL SECURITY If your retirement age is 66,
    your Social Security benefits are reduced by if
    you retire at age 65. Write this fraction as a percent.
    Give the exact answer and an approximation to the
    nearest tenth of a percent. (Source:Social Security
    Administration)

1

15

15

9

11

12

5

6

1

3

1

16

7

8

4

5

1

2

REVIEW EXERCISES

SECTION 6.2 Solving Percent Problems Using

Percent Equations and Proportions

DEFINITIONS AND CONCEPTS EXAMPLES

Translate the percent sentence to a percent equation.

is of

x  26%  180 This is the percent equation.

What number 26% 180?

The key words in a percent sentencecan be

translated to a percent equation.

• Each istranslates to an equal symbol 


• oftranslates to multiplication that is
  shown with a raised dot 


• whatnumberor whatpercenttranslates to
  an unknown number that is represented
  by a variable.