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 men to the number of women who liked volleyball was 1 : 4.  If 25% 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
2 u		1 u
Men	Women	Men	Women
1	4	1	3
0.4 u	1.6 u	0.25 u	0.75 u

25% = ²⁵₁₀₀ = ¹₄

Number of men who liked volleyball
= ¹₅ x 2 u
= 0.4 u

Number of women who liked volleyball
= 2 u - 0.4 u
= 1.6 u

Number of men who disliked volleyball
= ¹₄ x 1 u
= 0.25 u

Number of women who disliked volleyball
= 1 u - 0.25 u
= 0.75 u

Total number of men
= 0.4 u + 0.25 u
= 0.65 u

Total number of women
= 1.6 u + 0.75 u
= 2.35 u

Women : Men
0.65 : 2.35 _(x20)
13 : 47

Answer(s): 13 : 47