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 2 : 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 men to the number of women chosen for the survey?
Liked |
Disliked |
2 u |
1 u |
Women |
Men |
Women |
Men |
3 |
5 |
1 |
9 |
0.75 u |
1.25 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked gymnastics
=
38 x 2 u
= 0.75 u
Number of men who liked gymnastics
= 2 u - 0.75 u
= 1.25 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 men
= 1.25 u + 0.9 u
= 2.15 u
Total number of women
= 0.75 u + 0.1 u
= 0.85 u
Men : Women
2.15 : 0.85
(x20)43 : 17
Answer(s): 43 : 17