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 : 5. If 20% of the people who disliked rugby were men, what was the ratio of the number of men to the number of women chosen for the survey?
Liked |
Disliked |
3 u |
1 u |
Men |
Women |
Men |
Women |
1 |
5 |
1 |
4 |
0.5 u |
2.5 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of men who liked rugby
=
16 x 3 u
= 0.5 u
Number of women who liked rugby
= 3 u - 0.5 u
= 2.5 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 men
= 0.5 u + 0.2 u
= 0.7 u
Total number of women
= 2.5 u + 0.8 u
= 3.3 u
Women : Men
0.7 : 3.3
(x10)7 : 33
Answer(s): 7 : 33