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 2 : 1. The ratio of the number of women to the number of men who liked floorball was 1 : 4. If 10% of the people who disliked floorball were women, what was the ratio of the number of women to the number of men chosen for the survey?
| Liked |
Disliked |
| 2 u |
1 u |
| Women |
Men |
Women |
Men |
| 1 |
4 |
1 |
9 |
| 0.4 u |
1.6 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked floorball
=
15 x 2 u
= 0.4 u
Number of men who liked floorball
= 2 u - 0.4 u
= 1.6 u
Number of women who disliked floorball
=
110 x 1 u
= 0.1 u
Number of men who disliked floorball
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 0.4 u + 0.1 u
= 0.5 u
Total number of men
= 1.6 u + 0.9 u
= 2.5 u
Men : Women
0.5 : 2.5
(x2)1 : 5
Answer(s): 1 : 5
