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 3 : 1. The ratio of the number of men to the number of women who liked rugby was 1 : 3. If 20% of the people who disliked rugby were men, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
3 u |
1 u |
Men |
Women |
Men |
Women |
1 |
3 |
1 |
4 |
0.75 u |
2.25 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of men who liked rugby
=
14 x 3 u
= 0.75 u
Number of women who liked rugby
= 3 u - 0.75 u
= 2.25 u
Number of men who disliked rugby
=
15 x 1 u
= 0.2 u
Number of women who disliked rugby
= 1 u - 0.2 u
= 0.8 u
Total number of women
= 2.25 u + 0.8 u
= 3.05 u
Total number of men
= 0.75 u + 0.2 u
= 0.95 u
Women : Men
3.05 : 0.95
(x20)61 : 19
Answer(s): 61 : 19