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 1 : 7. If 10% 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 |
1 |
7 |
1 |
9 |
0.5 u |
3.5 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked volleyball
=
18 x 4 u
= 0.5 u
Number of men who liked volleyball
= 4 u - 0.5 u
= 3.5 u
Number of women who disliked volleyball
=
110 x 1 u
= 0.1 u
Number of men who disliked volleyball
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 0.5 u + 0.1 u
= 0.6 u
Total number of men
= 3.5 u + 0.9 u
= 4.4 u
Men : Women
0.6 : 4.4
(x5)3 : 22
Answer(s): 3 : 22