During a survey, some people responded that they liked fencing to other sports. The ratio of the number of people who liked fencing to those who disliked it was 6 : 1. The ratio of the number of men to the number of women who liked fencing was 1 : 3. If 20% of the people who disliked fencing were men, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
6 u |
1 u |
Men |
Women |
Men |
Women |
1 |
3 |
1 |
4 |
1.5 u |
4.5 u |
0.2 u |
0.8 u |
20% =
20100 =
15 Number of men who liked fencing
=
14 x 6 u
= 1.5 u
Number of women who liked fencing
= 6 u - 1.5 u
= 4.5 u
Number of men who disliked fencing
=
15 x 1 u
= 0.2 u
Number of women who disliked fencing
= 1 u - 0.2 u
= 0.8 u
Total number of women
= 4.5 u + 0.8 u
= 5.3 u
Total number of men
= 1.5 u + 0.2 u
= 1.7 u
Women : Men
5.3 : 1.7
(x10)53 : 17
Answer(s): 53 : 17