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 3 : 1. The ratio of the number of men to the number of women who liked aerobics was 3 : 7. If 20% of the people who disliked aerobics 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 |
3 |
7 |
1 |
4 |
0.9 u |
2.1 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of men who liked aerobics
=
310 x 3 u
= 0.9 u
Number of women who liked aerobics
= 3 u - 0.9 u
= 2.1 u
Number of men who disliked aerobics
=
15 x 1 u
= 0.2 u
Number of women who disliked aerobics
= 1 u - 0.2 u
= 0.8 u
Total number of women
= 2.1 u + 0.8 u
= 2.9 u
Total number of men
= 0.9 u + 0.2 u
= 1.1 u
Women : Men
2.9 : 1.1
(x10)29 : 11
Answer(s): 29 : 11