During a survey, some people responded that they liked jogging to other sports. The ratio of the number of people who liked jogging to those who disliked it was 5 : 1.  The ratio of the number of men to the number of women who liked jogging was 3 : 7.  If 20% of the people who disliked jogging were men, what was the ratio of the number of men to the number of women chosen for the survey?

Liked		Disliked
5 u		1 u
Men	Women	Men	Women
3	7	1	4
1.5 u	3.5 u	0.2 u	0.8 u

20% = ²⁰₁₀₀ = ¹₅

Number of men who liked jogging
= ³₁₀ x 5 u
= 1.5 u

Number of women who liked jogging
= 5 u - 1.5 u
= 3.5 u

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

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

Total number of men
= 1.5 u + 0.2 u
= 1.7 u

Total number of women
= 3.5 u + 0.8 u
= 4.3 u

Women : Men
1.7 : 4.3 _(x10)
17 : 43

Answer(s): 17 : 43