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Manhattan Guide Ratio Problem Set

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by theachiever » Thu Nov 29, 2012 11:41 pm
Initially there are 32 people in a room,with a ratio of 5 men for every 3 women.18 men leave, and the number of women in the room then diminishes, so that the number of women in the room is equal to twice the number of men in the room.In order to have a 2:1 ratio of men to women in the room,how many more men must be added?
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by eaakbari » Fri Nov 30, 2012 12:40 am
IMO Ans - 6

Men & Women are in the ratio - 5:3

Original
Men = 5/8*32 = 20
Women = 3/8*32 = 12

1st change - 18 men leave and M:W = 1:2

Men is 20 - 18 = 2
Since M = 2, W =4

2nd Change - we need ratio of M:W = 2:1

W = 4
Hence M = 8

Hence M needs 8-2 = 6 more men to be added.
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