During a survey, some people responded that they liked basketball to other sports. The ratio of the number of people who liked basketball to those who disliked it was 3 : 1. The ratio of the number of men to the number of women who liked basketball was 2 : 3. If 10% of the people who disliked basketball were men, what was the ratio of the number of men to the number of women chosen for the survey?
| Liked |
Disliked |
| 3 u |
1 u |
| Men |
Women |
Men |
Women |
| 2 |
3 |
1 |
9 |
| 1.2 u |
1.8 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked basketball
=
25 x 3 u
= 1.2 u
Number of women who liked basketball
= 3 u - 1.2 u
= 1.8 u
Number of men who disliked basketball
=
110 x 1 u
= 0.1 u
Number of women who disliked basketball
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 1.2 u + 0.1 u
= 1.3 u
Total number of women
= 1.8 u + 0.9 u
= 2.7 u
Women : Men
1.3 : 2.7
(x10)13 : 27
Answer(s): 13 : 27
