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 4 : 1. The ratio of the number of women to the number of men who liked gymnastics was 1 : 7. If 25% of the people who disliked gymnastics were women, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
4 u |
1 u |
Women |
Men |
Women |
Men |
1 |
7 |
1 |
3 |
0.5 u |
3.5 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of women who liked gymnastics
=
18 x 4 u
= 0.5 u
Number of men who liked gymnastics
= 4 u - 0.5 u
= 3.5 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 women
= 0.5 u + 0.25 u
= 0.75 u
Total number of men
= 3.5 u + 0.75 u
= 4.25 u
Men : Women
0.75 : 4.25
(x4)3 : 17
Answer(s): 3 : 17