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 1 : 3. If 10% 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 |
1 |
3 |
1 |
9 |
1.5 u |
4.5 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked gymnastics
=
14 x 6 u
= 1.5 u
Number of women who liked gymnastics
= 6 u - 1.5 u
= 4.5 u
Number of men who disliked gymnastics
=
110 x 1 u
= 0.1 u
Number of women who disliked gymnastics
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 4.5 u + 0.9 u
= 5.4 u
Total number of men
= 1.5 u + 0.1 u
= 1.6 u
Women : Men
5.4 : 1.6
(x5)27 : 8
Answer(s): 27 : 8