During a survey, some people responded that they liked basketball to other sports. The ratio of the number of people who liked basketball to those who disliked it was 4 : 1. The ratio of the number of women to the number of men who liked basketball was 1 : 4. If 10% of the people who disliked basketball 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 |
1 |
4 |
1 |
9 |
0.8 u |
3.2 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked basketball
=
15 x 4 u
= 0.8 u
Number of men who liked basketball
= 4 u - 0.8 u
= 3.2 u
Number of women who disliked basketball
=
110 x 1 u
= 0.1 u
Number of men who disliked basketball
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 0.8 u + 0.1 u
= 0.9 u
Total number of men
= 3.2 u + 0.9 u
= 4.1 u
Men : Women
0.9 : 4.1
(x10)9 : 41
Answer(s): 9 : 41