During a survey, some people responded that they liked badminton to other sports. The ratio of the number of people who liked badminton to those who disliked it was 3 : 1. The ratio of the number of men to the number of women who liked badminton was 1 : 5. If 25% of the people who disliked badminton were men, what was the ratio of the number of women to the number of men chosen for the survey?
| Liked |
Disliked |
| 3 u |
1 u |
| Men |
Women |
Men |
Women |
| 1 |
5 |
1 |
3 |
| 0.5 u |
2.5 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of men who liked badminton
=
16 x 3 u
= 0.5 u
Number of women who liked badminton
= 3 u - 0.5 u
= 2.5 u
Number of men who disliked badminton
=
14 x 1 u
= 0.25 u
Number of women who disliked badminton
= 1 u - 0.25 u
= 0.75 u
Total number of women
= 2.5 u + 0.75 u
= 3.25 u
Total number of men
= 0.5 u + 0.25 u
= 0.75 u
Women : Men
3.25 : 0.75
(x4)13 : 3
Answer(s): 13 : 3
