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 2 : 1. The ratio of the number of men to the number of women who liked squash was 1 : 7. If 10% 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 |
2 u |
1 u |
Men |
Women |
Men |
Women |
1 |
7 |
1 |
9 |
0.25 u |
1.75 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked squash
=
18 x 2 u
= 0.25 u
Number of women who liked squash
= 2 u - 0.25 u
= 1.75 u
Number of men who disliked squash
=
110 x 1 u
= 0.1 u
Number of women who disliked squash
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 1.75 u + 0.9 u
= 2.65 u
Total number of men
= 0.25 u + 0.1 u
= 0.35 u
Women : Men
2.65 : 0.35
(x20)53 : 7
Answer(s): 53 : 7