During a survey, some people responded that they liked canoeing to other sports. The ratio of the number of people who liked canoeing to those who disliked it was 4 : 1. The ratio of the number of men to the number of women who liked canoeing was 2 : 3. If 25% of the people who disliked canoeing were men, what was the ratio of the number of men to the number of women chosen for the survey?
| Liked |
Disliked |
| 4 u |
1 u |
| Men |
Women |
Men |
Women |
| 2 |
3 |
1 |
3 |
| 1.6 u |
2.4 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of men who liked canoeing
=
25 x 4 u
= 1.6 u
Number of women who liked canoeing
= 4 u - 1.6 u
= 2.4 u
Number of men who disliked canoeing
=
14 x 1 u
= 0.25 u
Number of women who disliked canoeing
= 1 u - 0.25 u
= 0.75 u
Total number of men
= 1.6 u + 0.25 u
= 1.85 u
Total number of women
= 2.4 u + 0.75 u
= 3.15 u
Women : Men
1.85 : 3.15
(x20)37 : 63
Answer(s): 37 : 63
