During a survey, some people responded that they liked soccer to other sports. The ratio of the number of people who liked soccer to those who disliked it was 6 : 1. The ratio of the number of men to the number of women who liked soccer was 3 : 5. If 10% of the people who disliked soccer were men, what was the ratio of the number of men to the number of women chosen for the survey?
Liked |
Disliked |
6 u |
1 u |
Men |
Women |
Men |
Women |
3 |
5 |
1 |
9 |
2.25 u |
3.75 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked soccer
=
38 x 6 u
= 2.25 u
Number of women who liked soccer
= 6 u - 2.25 u
= 3.75 u
Number of men who disliked soccer
=
110 x 1 u
= 0.1 u
Number of women who disliked soccer
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 2.25 u + 0.1 u
= 2.35 u
Total number of women
= 3.75 u + 0.9 u
= 4.65 u
Women : Men
2.35 : 4.65
(x20)47 : 93
Answer(s): 47 : 93