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 5 : 1. The ratio of the number of women to the number of men who liked basketball was 1 : 3. If 20% 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 |
5 u |
1 u |
Women |
Men |
Women |
Men |
1 |
3 |
1 |
4 |
1.25 u |
3.75 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of women who liked basketball
=
14 x 5 u
= 1.25 u
Number of men who liked basketball
= 5 u - 1.25 u
= 3.75 u
Number of women who disliked basketball
=
15 x 1 u
= 0.2 u
Number of men who disliked basketball
= 1 u - 0.2 u
= 0.8 u
Total number of women
= 1.25 u + 0.2 u
= 1.45 u
Total number of men
= 3.75 u + 0.8 u
= 4.55 u
Men : Women
1.45 : 4.55
(x20)29 : 91
Answer(s): 29 : 91