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 6 : 1. The ratio of the number of men to the number of women who liked volleyball was 3 : 7. If 10% of the people who disliked volleyball were men, what was the ratio of the number of men to the number of women chosen for the survey?
Liked |
Disliked |
6 u |
1 u |
Men |
Women |
Men |
Women |
3 |
7 |
1 |
9 |
1.8 u |
4.2 u |
0.1 u |
0.9 u |
10% =
10100 =
110 Number of men who liked volleyball
=
310 x 6 u
= 1.8 u
Number of women who liked volleyball
= 6 u - 1.8 u
= 4.2 u
Number of men who disliked volleyball
=
110 x 1 u
= 0.1 u
Number of women who disliked volleyball
= 1 u - 0.1 u
= 0.9 u
Total number of men
= 1.8 u + 0.1 u
= 1.9 u
Total number of women
= 4.2 u + 0.9 u
= 5.1 u
Women : Men
1.9 : 5.1
(x10)19 : 51
Answer(s): 19 : 51