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 4 : 1. The ratio of the number of men to the number of women who liked fencing was 1 : 4. If 25% 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 |
4 u |
1 u |
Men |
Women |
Men |
Women |
1 |
4 |
1 |
3 |
0.8 u |
3.2 u |
0.25 u |
0.75 u |
25% =
25100 =
14 Number of men who liked fencing
=
15 x 4 u
= 0.8 u
Number of women who liked fencing
= 4 u - 0.8 u
= 3.2 u
Number of men who disliked fencing
=
14 x 1 u
= 0.25 u
Number of women who disliked fencing
= 1 u - 0.25 u
= 0.75 u
Total number of women
= 3.2 u + 0.75 u
= 3.95 u
Total number of men
= 0.8 u + 0.25 u
= 1.05 u
Women : Men
3.95 : 1.05
(x20)79 : 21
Answer(s): 79 : 21