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 3 : 5. If 10% 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 |
6 u |
1 u |
Women |
Men |
Women |
Men |
3 |
5 |
1 |
9 |
2.25 u |
3.75 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked gymnastics
=
38 x 6 u
= 2.25 u
Number of men who liked gymnastics
= 6 u - 2.25 u
= 3.75 u
Number of women who disliked gymnastics
=
110 x 1 u
= 0.1 u
Number of men who disliked gymnastics
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 2.25 u + 0.1 u
= 2.35 u
Total number of men
= 3.75 u + 0.9 u
= 4.65 u
Men : Women
2.35 : 4.65
(x20)47 : 93
Answer(s): 47 : 93