During a survey, some people responded that they liked floorball to other sports. The ratio of the number of people who liked floorball to those who disliked it was 4 : 1. The ratio of the number of men to the number of women who liked floorball was 1 : 7. If 10% of the people who disliked floorball were men, what was the ratio of the number of men to the number of women chosen for the survey?
Liked |
Disliked |
4 u |
1 u |
Men |
Women |
Men |
Women |
1 |
7 |
1 |
9 |
0.5 u |
3.5 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked floorball
=
18 x 4 u
= 0.5 u
Number of women who liked floorball
= 4 u - 0.5 u
= 3.5 u
Number of men who disliked floorball
=
110 x 1 u
= 0.1 u
Number of women who disliked floorball
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 0.5 u + 0.1 u
= 0.6 u
Total number of women
= 3.5 u + 0.9 u
= 4.4 u
Women : Men
0.6 : 4.4
(x5)3 : 22
Answer(s): 3 : 22