During a survey, some people responded that they liked fencing to other sports. The ratio of the number of people who liked fencing to those who disliked it was 3 : 1. The ratio of the number of women to the number of men who liked fencing was 1 : 3. If 10% of the people who disliked fencing were women, what was the ratio of the number of men to the number of women chosen for the survey?
Liked |
Disliked |
3 u |
1 u |
Women |
Men |
Women |
Men |
1 |
3 |
1 |
9 |
0.75 u |
2.25 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked fencing
=
14 x 3 u
= 0.75 u
Number of men who liked fencing
= 3 u - 0.75 u
= 2.25 u
Number of women who disliked fencing
=
110 x 1 u
= 0.1 u
Number of men who disliked fencing
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 2.25 u + 0.9 u
= 3.15 u
Total number of women
= 0.75 u + 0.1 u
= 0.85 u
Men : Women
3.15 : 0.85
(x20)63 : 17
Answer(s): 63 : 17