RATIO AND PROPORTION  2

PROBLEMS (2)

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"Out of":  The ratio Part : Whole.

12.  In a class, 3 out of 5 students are girls; there are 30 students; how
12.  many are girls?  18

13.  In a survey, 7 out of 8 people answered No; 168 people were
11 . surveyed; how many answered No?  147.   How many answered
13.  Yes?  21

14.  In the sophomore class, there are 630 students.  2 out of 3 have a
14.  C average.  How many have a C average?  420.   How many do
14.  not have a C average?  210

15.  A company employs 450 people, and 7 out of 10 are women.  How
15.  many women employees are there?  315.   How many men?  135

Percent: Ratio to 100

16.  What percent of 100 is each of these?

a)   28 out of 100.   28%   b)   72 out of 100.   72%
 
c)   98.5 out of 100.   98.5%   d)   375 for each 100.   375%

17.  a)  Why this is a proportion?

11 : 44 = 25 : 100.

11 is the fourth part of 44, and 25 is the fourth part of 100.

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

15.  b)  Why this is a proportion?

9 : 50 = 18 : 100.

Both 9 and 50 have been multiplied by 2.

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

15.  c)  Why this is a proportion?

8 : 200 = 4 : 100.

Both 8 and 200 have been divided by 2.

15.  a)  8 is what percent of 200?  4%

18.  Complete each proportion.  In each case, the 1st term is what
18.  percent of the 2nd?

  8 : 16 = 50 : 100.   50%.   9 : 36 = 25 : 100.  25%.
 
  7 : 35 = 20 : 100.  20%.   4 : 40 = 10 : 100.  10%.
 
  11 : 50 = 22 : 100.  22%.   3 : 25 = 12 : 100.  12%.
 
  9 : 20 = 45 : 100.  45%.   7.5 : 10 = 75 : 100.  75%.
 
  24 : 200 = 12 : 100.  12%.   24 : 300 = 8 : 100.  8%.
 
  35 : 500 = 5 : 100.  5%.   42 : 600 = 7 : 100.  7%.

These problems continue in Lesson 28.

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