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 2 : 3. If 25% 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 |
2 |
3 |
1 |
3 |
1.2 u |
1.8 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of women who liked fencing
=
25 x 3 u
= 1.2 u
Number of men who liked fencing
= 3 u - 1.2 u
= 1.8 u
Number of women who disliked fencing
=
14 x 1 u
= 0.25 u
Number of men who disliked fencing
= 1 u - 0.25 u
= 0.75 u
Total number of men
= 1.8 u + 0.75 u
= 2.55 u
Total number of women
= 1.2 u + 0.25 u
= 1.45 u
Men : Women
2.55 : 1.45
(x20)51 : 29
Answer(s): 51 : 29