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 6 : 1. The ratio of the number of men to the number of women who liked canoeing was 2 : 3. If 10% 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 |
6 u |
1 u |
Men |
Women |
Men |
Women |
2 |
3 |
1 |
9 |
2.4 u |
3.6 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked canoeing
=
25 x 6 u
= 2.4 u
Number of women who liked canoeing
= 6 u - 2.4 u
= 3.6 u
Number of men who disliked canoeing
=
110 x 1 u
= 0.1 u
Number of women who disliked canoeing
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 2.4 u + 0.1 u
= 2.5 u
Total number of women
= 3.6 u + 0.9 u
= 4.5 u
Women : Men
2.5 : 4.5
(x2)5 : 9
Answer(s): 5 : 9