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 1 : 4. If 25% 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 |
1 |
4 |
1 |
3 |
0.6 u |
2.4 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of men who liked basketball
=
15 x 3 u
= 0.6 u
Number of women who liked basketball
= 3 u - 0.6 u
= 2.4 u
Number of men who disliked basketball
=
14 x 1 u
= 0.25 u
Number of women who disliked basketball
= 1 u - 0.25 u
= 0.75 u
Total number of men
= 0.6 u + 0.25 u
= 0.85 u
Total number of women
= 2.4 u + 0.75 u
= 3.15 u
Women : Men
0.85 : 3.15
(x20)17 : 63
Answer(s): 17 : 63