WHAT PERCENT?
THE METHOD OF PROPORTIONS

PROBLEMS

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11.  28 out of 100 students got A.

11.  a)  What percent got A?  28%

11.  b)  What percent did not get A?  72%

12.  81 students in the class were brunettes, 14 were blondes, and 5 were
12.  red-heads.  

12.  a)  What percent were brunettes?  81%

12.  b)  What percent were blondes?  14%

12.  c)  What percent were red-heads?  5%

13.  a)  32 out of 100 people responded Yes.  What percent responded
13.  a)  Yes?  32%

13.  b)  32 out of 200 people responded Yes.  What percent responded
13.  b)  Yes?  16%

13.  c)  32 out of 50 people responded Yes.  What percent responded
13.  c)  Yes?  64%

The Method of Proportions: Fourth term 100

4.  a)  Why is this a proportion (or, why are these fractions equivalent)?

11
44
 =   25 
100

11 is the fourth part of 44, just as 25 is the fourth part of 100.

14.  a)  11 is what percent of 44?  25%

14.  b)  Why is this a proportion?

 9 
50
 =   18 
100

100 is two times 50, and 18 is two times 9.

14.  a)  9 is what percent of 50?  18%

14.  c)  Why is this a proportion?

  8  
200
 =    4  
100

100 is half of 200, and 4 is half of 8.

14.  c)  8 is what percent of 200?  4%

15.  Write each of the following as a percent.

  15.   a)    72 
100
 = 72%   b)     3  
100
 = 3%   c)    8 
50
 = 16%   d)   31
50
 = 62%
 
  15.   e)    9 
25
 = 36%   f)   11
20
 = 55%   g)    6 
25
 = 24%   h)   3
5
 = 60%
 
  15.   i)    3 
20
 = 15%   j)    9 
10
 = 90%   k)     8  
200
 = 4%   l)    15 
200
 = 7½%
 
  15.   m)    27 
300
  = 9%   n)    28 
500
  = 5.6%   o)    489 
1000
  = 48.9%   p)      6   
1000
  = .6%

16.  Out of a class of 25 students, 4 were absent.  What percent were
16.  absent?  16%

16.  What percent were present?  84%

17.  Jennifer had $50 and she spent $49.  What percent of her money did
17.  she spend?  98%

17.  What percent does she have left?  2%

18.  A team played 20 games and won 17 of them.  What percent did
18.  they win?  85%

18.  What percent did they lose?  15%

19.  In a survey of 200 people, 84 responded Yes.  What percent
19.  responded Yes?  42%

10.  In a survey of 200 people, 85 responded Yes.  What percent
10.  responded Yes?  42½%

11.  128 out of 400 students took French.  What percent took
11.  French?  32%

12.  129 out of 400 students took French.  What percent took
12.  French?  32¼%

13.  500 people recently voted, and 325 voted No.  What percent voted
13.  No?  65%.  What percent voted Yes?  35%

14.  500 people recently voted, and 328 voted No.  What percent voted
13.  No?  65.6%.  What percent voted Yes?  34.4%

15.  In a survey of 1000 students, 682 said that they did.  What percent
15.  said that they did?  68.2%.  What percent said they didn't?  31.8%

16.  In a later survey of 1000 students, 846 said that they did.  What
16.  percent said that they did?  84.6%
16.  What percent said they didn't?  15.4%


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