During a survey, some people responded that they liked rugby to other sports. The ratio of the number of people who liked rugby to those who disliked it was 5 : 1. The ratio of the number of women to the number of men who liked rugby was 3 : 7. If 25% of the people who disliked rugby were women, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
5 u |
1 u |
Women |
Men |
Women |
Men |
3 |
7 |
1 |
3 |
1.5 u |
3.5 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of women who liked rugby
=
310 x 5 u
= 1.5 u
Number of men who liked rugby
= 5 u - 1.5 u
= 3.5 u
Number of women who disliked rugby
=
14 x 1 u
= 0.25 u
Number of men who disliked rugby
= 1 u - 0.25 u
= 0.75 u
Total number of women
= 1.5 u + 0.25 u
= 1.75 u
Total number of men
= 3.5 u + 0.75 u
= 4.25 u
Men : Women
1.75 : 4.25
(x4)7 : 17
Answer(s): 7 : 17