During a survey, some people responded that they liked swimming to other sports. The ratio of the number of people who liked swimming to those who disliked it was 3 : 1. The ratio of the number of men to the number of women who liked swimming was 1 : 3. If 20% of the people who disliked swimming 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 |
3 |
1 |
4 |
0.75 u |
2.25 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of men who liked swimming
=
14 x 3 u
= 0.75 u
Number of women who liked swimming
= 3 u - 0.75 u
= 2.25 u
Number of men who disliked swimming
=
15 x 1 u
= 0.2 u
Number of women who disliked swimming
= 1 u - 0.2 u
= 0.8 u
Total number of men
= 0.75 u + 0.2 u
= 0.95 u
Total number of women
= 2.25 u + 0.8 u
= 3.05 u
Women : Men
0.95 : 3.05
(x20)19 : 61
Answer(s): 19 : 61