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 men to the number of women who liked volleyball was 1 : 4. If 10% of the people who disliked volleyball were men, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
4 u |
1 u |
Men |
Women |
Men |
Women |
1 |
4 |
1 |
9 |
0.8 u |
3.2 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked volleyball
=
15 x 4 u
= 0.8 u
Number of women who liked volleyball
= 4 u - 0.8 u
= 3.2 u
Number of men who disliked volleyball
=
110 x 1 u
= 0.1 u
Number of women who disliked volleyball
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 3.2 u + 0.9 u
= 4.1 u
Total number of men
= 0.8 u + 0.1 u
= 0.9 u
Women : Men
4.1 : 0.9
(x10)41 : 9
Answer(s): 41 : 9