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 men to the number of women who liked gymnastics was 3 : 7. If 25% of the people who disliked gymnastics were men, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
6 u |
1 u |
Men |
Women |
Men |
Women |
3 |
7 |
1 |
3 |
1.8 u |
4.2 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of men who liked gymnastics
=
310 x 6 u
= 1.8 u
Number of women who liked gymnastics
= 6 u - 1.8 u
= 4.2 u
Number of men who disliked gymnastics
=
14 x 1 u
= 0.25 u
Number of women who disliked gymnastics
= 1 u - 0.25 u
= 0.75 u
Total number of women
= 4.2 u + 0.75 u
= 4.95 u
Total number of men
= 1.8 u + 0.25 u
= 2.05 u
Women : Men
4.95 : 2.05
(x20)99 : 41
Answer(s): 99 : 41