In a certain city, 4/7 of the men are married to 3/5 of the women. What fraction of the adult population is married?
(a) 12/35
(b) 24/35
(c) 41/70
(d) 24/41
(e) 7/12
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mikeCoolBoy
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IMO D
Let's pick a number for the total of men
total of men = 35 ---> 4/7 of 35 = 20 are married.
The same number of women have to be married so
3/5W = 20 ---> number of women W = 100/3
fraction of the population married = (20+20)/(35+100/3) = 24/41
Let's pick a number for the total of men
total of men = 35 ---> 4/7 of 35 = 20 are married.
The same number of women have to be married so
3/5W = 20 ---> number of women W = 100/3
fraction of the population married = (20+20)/(35+100/3) = 24/41
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sureshbala
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Given that (4/7)M = (3/5)Wdtweah wrote:In a certain city, 4/7 of the men are married to 3/5 of the women. What fraction of the adult population is married?
(a) 12/35
(b) 24/35
(c) 41/70
(d) 24/41
(e) 7/12
i.e. M:W = 21:20
i.e. Let M = 21 and W = 20.
So number of married men = 4/7 x 21 = 12.
Thus number of married women is also 12.
Hence 24 out of 41 are married.
Thus 24/41
