During a survey, some people responded that they liked squash to other sports. The ratio of the number of people who liked squash to those who disliked it was 5 : 1. The ratio of the number of men to the number of women who liked squash was 3 : 7. If 25% of the people who disliked squash were men, what was the ratio of the number of women to the number of men chosen for the survey?
| Liked |
Disliked |
| 5 u |
1 u |
| Men |
Women |
Men |
Women |
| 3 |
7 |
1 |
3 |
| 1.5 u |
3.5 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of men who liked squash
=
310 x 5 u
= 1.5 u
Number of women who liked squash
= 5 u - 1.5 u
= 3.5 u
Number of men who disliked squash
=
14 x 1 u
= 0.25 u
Number of women who disliked squash
= 1 u - 0.25 u
= 0.75 u
Total number of women
= 3.5 u + 0.75 u
= 4.25 u
Total number of men
= 1.5 u + 0.25 u
= 1.75 u
Women : Men
4.25 : 1.75
(x4)17 : 7
Answer(s): 17 : 7
