During a survey, some people responded that they liked floorball to other sports. The ratio of the number of people who liked floorball to those who disliked it was 3 : 1.  The ratio of the number of men to the number of women who liked floorball was 3 : 7.  If 20% of the people who disliked floorball were men, what was the ratio of the number of men to the number of women chosen for the survey?

Liked		Disliked
3 u		1 u
Men	Women	Men	Women
3	7	1	4
0.9 u	2.1 u	0.2 u	0.8 u

20% = ²⁰₁₀₀ = ¹₅

Number of men who liked floorball
= ³₁₀ x 3 u
= 0.9 u

Number of women who liked floorball
= 3 u - 0.9 u
= 2.1 u

Number of men who disliked floorball
= ¹₅ x 1 u
= 0.2 u

Number of women who disliked floorball
= 1 u - 0.2 u
= 0.8 u

Total number of men
= 0.9 u + 0.2 u
= 1.1 u

Total number of women
= 2.1 u + 0.8 u
= 2.9 u

Women : Men
1.1 : 2.9 _(x10)
11 : 29

Answer(s): 11 : 29