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 women to the number of men who liked canoeing was 1 : 4. If 25% of the people who disliked canoeing were women, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
4 u |
1 u |
Women |
Men |
Women |
Men |
1 |
4 |
1 |
3 |
0.8 u |
3.2 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of women who liked canoeing
=
15 x 4 u
= 0.8 u
Number of men who liked canoeing
= 4 u - 0.8 u
= 3.2 u
Number of women who disliked canoeing
=
14 x 1 u
= 0.25 u
Number of men who disliked canoeing
= 1 u - 0.25 u
= 0.75 u
Total number of women
= 0.8 u + 0.25 u
= 1.05 u
Total number of men
= 3.2 u + 0.75 u
= 3.95 u
Men : Women
1.05 : 3.95
(x20)21 : 79
Answer(s): 21 : 79