During a survey, some people responded that they liked volleyball to other sports. The ratio of the number of people who liked volleyball to those who disliked it was 4 : 1. The ratio of the number of women to the number of men who liked volleyball was 3 : 5. If 25% of the people who disliked volleyball 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 |
5 |
1 |
3 |
1.5 u |
2.5 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of women who liked volleyball
=
38 x 4 u
= 1.5 u
Number of men who liked volleyball
= 4 u - 1.5 u
= 2.5 u
Number of women who disliked volleyball
=
14 x 1 u
= 0.25 u
Number of men who disliked volleyball
= 1 u - 0.25 u
= 0.75 u
Total number of women
= 1.5 u + 0.25 u
= 1.75 u
Total number of men
= 2.5 u + 0.75 u
= 3.25 u
Men : Women
1.75 : 3.25
(x4)7 : 13
Answer(s): 7 : 13