During a survey, some people responded that they liked tennis to other sports. The ratio of the number of people who liked tennis to those who disliked it was 4 : 1.  The ratio of the number of men to the number of women who liked tennis was 1 : 7.  If 25% of the people who disliked tennis were men, what was the ratio of the number of women to the number of men chosen for the survey?

Liked		Disliked
4 u		1 u
Men	Women	Men	Women
1	7	1	3
0.5 u	3.5 u	0.25 u	0.75 u

25% = ²⁵₁₀₀ = ¹₄

Number of men who liked tennis
= ¹₈ x 4 u
= 0.5 u

Number of women who liked tennis
= 4 u - 0.5 u
= 3.5 u

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

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

Total number of women
= 3.5 u + 0.75 u
= 4.25 u

Total number of men
= 0.5 u + 0.25 u
= 0.75 u

Women : Men
4.25 : 0.75 _(x4)
17 : 3

Answer(s): 17 : 3