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 6 : 1. The ratio of the number of women to the number of men who liked aerobics was 1 : 3. If 20% 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 |
6 u |
1 u |
Women |
Men |
Women |
Men |
1 |
3 |
1 |
4 |
1.5 u |
4.5 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of women who liked aerobics
=
14 x 6 u
= 1.5 u
Number of men who liked aerobics
= 6 u - 1.5 u
= 4.5 u
Number of women who disliked aerobics
=
15 x 1 u
= 0.2 u
Number of men who disliked aerobics
= 1 u - 0.2 u
= 0.8 u
Total number of women
= 1.5 u + 0.2 u
= 1.7 u
Total number of men
= 4.5 u + 0.8 u
= 5.3 u
Men : Women
1.7 : 5.3
(x10)17 : 53
Answer(s): 17 : 53