During a survey, some people responded that they liked badminton to other sports. The ratio of the number of people who liked badminton to those who disliked it was 3 : 1. The ratio of the number of women to the number of men who liked badminton was 1 : 5. If 10% of the people who disliked badminton were women, what was the ratio of the number of men to the number of women chosen for the survey?
Liked |
Disliked |
3 u |
1 u |
Women |
Men |
Women |
Men |
1 |
5 |
1 |
9 |
0.5 u |
2.5 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked badminton
=
16 x 3 u
= 0.5 u
Number of men who liked badminton
= 3 u - 0.5 u
= 2.5 u
Number of women who disliked badminton
=
110 x 1 u
= 0.1 u
Number of men who disliked badminton
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 2.5 u + 0.9 u
= 3.4 u
Total number of women
= 0.5 u + 0.1 u
= 0.6 u
Men : Women
3.4 : 0.6
(x5)17 : 3
Answer(s): 17 : 3