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 6 : 1. The ratio of the number of men to the number of women who liked squash was 2 : 3. 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 |
6 u |
1 u |
Men |
Women |
Men |
Women |
2 |
3 |
1 |
3 |
2.4 u |
3.6 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of men who liked squash
=
25 x 6 u
= 2.4 u
Number of women who liked squash
= 6 u - 2.4 u
= 3.6 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
= 3.6 u + 0.75 u
= 4.35 u
Total number of men
= 2.4 u + 0.25 u
= 2.65 u
Women : Men
4.35 : 2.65
(x20)87 : 53
Answer(s): 87 : 53