During a survey, some people responded that they liked tennis to other sports. The ratio of the number of people who liked tennis to those who disliked it was 4 : 1. The ratio of the number of women to the number of men who liked tennis was 3 : 7. If 10% of the people who disliked tennis 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 |
3 |
7 |
1 |
9 |
1.2 u |
2.8 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked tennis
=
310 x 4 u
= 1.2 u
Number of men who liked tennis
= 4 u - 1.2 u
= 2.8 u
Number of women who disliked tennis
=
110 x 1 u
= 0.1 u
Number of men who disliked tennis
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 1.2 u + 0.1 u
= 1.3 u
Total number of men
= 2.8 u + 0.9 u
= 3.7 u
Men : Women
1.3 : 3.7
(x10)13 : 37
Answer(s): 13 : 37