During a survey, some people responded that they liked aerobics to other sports. The ratio of the number of people who liked aerobics to those who disliked it was 4 : 1. The ratio of the number of women to the number of men who liked aerobics was 2 : 3. If 10% of the people who disliked aerobics were women, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
4 u |
1 u |
Women |
Men |
Women |
Men |
2 |
3 |
1 |
9 |
1.6 u |
2.4 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked aerobics
=
25 x 4 u
= 1.6 u
Number of men who liked aerobics
= 4 u - 1.6 u
= 2.4 u
Number of women who disliked aerobics
=
110 x 1 u
= 0.1 u
Number of men who disliked aerobics
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 1.6 u + 0.1 u
= 1.7 u
Total number of men
= 2.4 u + 0.9 u
= 3.3 u
Men : Women
1.7 : 3.3
(x10)17 : 33
Answer(s): 17 : 33