During a survey, some people responded that they liked volleyball to other sports. The ratio of the number of people who liked volleyball to those who disliked it was 2 : 1. The ratio of the number of women to the number of men who liked volleyball was 3 : 7. If 10% of the people who disliked volleyball were women, what was the ratio of the number of men to the number of women chosen for the survey?
| Liked |
Disliked |
| 2 u |
1 u |
| Women |
Men |
Women |
Men |
| 3 |
7 |
1 |
9 |
| 0.6 u |
1.4 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of women who liked volleyball
=
310 x 2 u
= 0.6 u
Number of men who liked volleyball
= 2 u - 0.6 u
= 1.4 u
Number of women who disliked volleyball
=
110 x 1 u
= 0.1 u
Number of men who disliked volleyball
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 1.4 u + 0.9 u
= 2.3 u
Total number of women
= 0.6 u + 0.1 u
= 0.7 u
Men : Women
2.3 : 0.7
(x10)23 : 7
Answer(s): 23 : 7
