During a survey, some people responded that they liked gymnastics to other sports. The ratio of the number of people who liked gymnastics to those who disliked it was 6 : 1. The ratio of the number of women to the number of men who liked gymnastics was 1 : 4. If 25% of the people who disliked gymnastics were women, what was the ratio of the number of men to the number of women chosen for the survey?
| Liked |
Disliked |
| 6 u |
1 u |
| Women |
Men |
Women |
Men |
| 1 |
4 |
1 |
3 |
| 1.2 u |
4.8 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of women who liked gymnastics
=
15 x 6 u
= 1.2 u
Number of men who liked gymnastics
= 6 u - 1.2 u
= 4.8 u
Number of women who disliked gymnastics
=
14 x 1 u
= 0.25 u
Number of men who disliked gymnastics
= 1 u - 0.25 u
= 0.75 u
Total number of men
= 4.8 u + 0.75 u
= 5.55 u
Total number of women
= 1.2 u + 0.25 u
= 1.45 u
Men : Women
5.55 : 1.45
(x20)111 : 29
Answer(s): 111 : 29
