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 2 : 1. The ratio of the number of women to the number of men who liked fencing was 1 : 3. If 20% 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 |
| 2 u |
1 u |
| Women |
Men |
Women |
Men |
| 1 |
3 |
1 |
4 |
| 0.5 u |
1.5 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of women who liked fencing
=
14 x 2 u
= 0.5 u
Number of men who liked fencing
= 2 u - 0.5 u
= 1.5 u
Number of women who disliked fencing
=
15 x 1 u
= 0.2 u
Number of men who disliked fencing
= 1 u - 0.2 u
= 0.8 u
Total number of men
= 1.5 u + 0.8 u
= 2.3 u
Total number of women
= 0.5 u + 0.2 u
= 0.7 u
Men : Women
2.3 : 0.7
(x10)23 : 7
Answer(s): 23 : 7
