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 3 : 1. The ratio of the number of women to the number of men who liked canoeing was 1 : 4. If 10% 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 |
3 u |
1 u |
Women |
Men |
Women |
Men |
1 |
4 |
1 |
9 |
0.6 u |
2.4 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked canoeing
=
15 x 3 u
= 0.6 u
Number of men who liked canoeing
= 3 u - 0.6 u
= 2.4 u
Number of women who disliked canoeing
=
110 x 1 u
= 0.1 u
Number of men who disliked canoeing
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 0.6 u + 0.1 u
= 0.7 u
Total number of men
= 2.4 u + 0.9 u
= 3.3 u
Men : Women
0.7 : 3.3
(x10)7 : 33
Answer(s): 7 : 33