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 5 : 1. The ratio of the number of women to the number of men who liked badminton was 1 : 3. If 20% 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 |
5 u |
1 u |
Women |
Men |
Women |
Men |
1 |
3 |
1 |
4 |
1.25 u |
3.75 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of women who liked badminton
=
14 x 5 u
= 1.25 u
Number of men who liked badminton
= 5 u - 1.25 u
= 3.75 u
Number of women who disliked badminton
=
15 x 1 u
= 0.2 u
Number of men who disliked badminton
= 1 u - 0.2 u
= 0.8 u
Total number of men
= 3.75 u + 0.8 u
= 4.55 u
Total number of women
= 1.25 u + 0.2 u
= 1.45 u
Men : Women
4.55 : 1.45
(x20)91 : 29
Answer(s): 91 : 29