During a survey, some people responded that they liked tennis to other sports. The ratio of the number of people who liked tennis to those who disliked it was 4 : 1. The ratio of the number of women to the number of men who liked tennis was 3 : 5. If 20% of the people who disliked tennis were women, what was the ratio of the number of men to the number of women chosen for the survey?
Liked |
Disliked |
4 u |
1 u |
Women |
Men |
Women |
Men |
3 |
5 |
1 |
4 |
1.5 u |
2.5 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of women who liked tennis
=
38 x 4 u
= 1.5 u
Number of men who liked tennis
= 4 u - 1.5 u
= 2.5 u
Number of women who disliked tennis
=
15 x 1 u
= 0.2 u
Number of men who disliked tennis
= 1 u - 0.2 u
= 0.8 u
Total number of men
= 2.5 u + 0.8 u
= 3.3 u
Total number of women
= 1.5 u + 0.2 u
= 1.7 u
Men : Women
3.3 : 1.7
(x10)33 : 17
Answer(s): 33 : 17