During a survey, some people responded that they liked aerobics to other sports. The ratio of the number of people who liked aerobics to those who disliked it was 3 : 1. The ratio of the number of women to the number of men who liked aerobics was 1 : 3. If 20% of the people who disliked aerobics were women, what was the ratio of the number of men to the number of women chosen for the survey?
| Liked |
Disliked |
| 3 u |
1 u |
| Women |
Men |
Women |
Men |
| 1 |
3 |
1 |
4 |
| 0.75 u |
2.25 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of women who liked aerobics
=
14 x 3 u
= 0.75 u
Number of men who liked aerobics
= 3 u - 0.75 u
= 2.25 u
Number of women who disliked aerobics
=
15 x 1 u
= 0.2 u
Number of men who disliked aerobics
= 1 u - 0.2 u
= 0.8 u
Total number of men
= 2.25 u + 0.8 u
= 3.05 u
Total number of women
= 0.75 u + 0.2 u
= 0.95 u
Men : Women
3.05 : 0.95
(x20)61 : 19
Answer(s): 61 : 19
