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 2 : 1. The ratio of the number of women to the number of men who liked fencing was 1 : 7. If 10% of the people who disliked fencing were women, what was the ratio of the number of women to the number of men chosen for the survey?
Liked |
Disliked |
2 u |
1 u |
Women |
Men |
Women |
Men |
1 |
7 |
1 |
9 |
0.25 u |
1.75 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked fencing
=
18 x 2 u
= 0.25 u
Number of men who liked fencing
= 2 u - 0.25 u
= 1.75 u
Number of women who disliked fencing
=
110 x 1 u
= 0.1 u
Number of men who disliked fencing
= 1 u - 0.1 u
= 0.9 u
Total number of women
= 0.25 u + 0.1 u
= 0.35 u
Total number of men
= 1.75 u + 0.9 u
= 2.65 u
Men : Women
0.35 : 2.65
(x20)7 : 53
Answer(s): 7 : 53