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 4 : 1. The ratio of the number of men to the number of women who liked basketball was 3 : 5. If 20% of the people who disliked basketball were men, what was the ratio of the number of women to the number of men chosen for the survey?
| Liked |
Disliked |
| 4 u |
1 u |
| Men |
Women |
Men |
Women |
| 3 |
5 |
1 |
4 |
| 1.5 u |
2.5 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of men who liked basketball
=
38 x 4 u
= 1.5 u
Number of women who liked basketball
= 4 u - 1.5 u
= 2.5 u
Number of men who disliked basketball
=
15 x 1 u
= 0.2 u
Number of women who disliked basketball
= 1 u - 0.2 u
= 0.8 u
Total number of women
= 2.5 u + 0.8 u
= 3.3 u
Total number of men
= 1.5 u + 0.2 u
= 1.7 u
Women : Men
3.3 : 1.7
(x10)33 : 17
Answer(s): 33 : 17
