word problem

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sud21: Master | Next Rank: 500 Posts; Posts: 344; Joined: Sat Nov 12, 2011 3:21 amFollowed by: 2 members; Thanked: 1 times

by sud21 » Thu Jan 12, 2012 4:55 am

Of a group of people, the ratio of number of women to men to children is 7 to 2 to 5. What is the total number of the people?
1). women + children=12
2). number of men is less than 4

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Source: Beat The GMAT — Data Sufficiency | Thu Jan 12, 2012 4:55 am

neelgandham: Community Manager; Posts: 1060; Joined: Fri May 13, 2011 6:46 amFollowed by: 52 members; Location: Utrecht, The Netherlands; Thanked: 318 times

by neelgandham » Fri Jan 13, 2012 5:35 am

Of a group of people, the ratio of number of women to men to children is 7 to 2 to 5. What is the total number of the people?
So the number of
women in the group = 7x
men in the group = 2x
children in the group = 5x
people in the group = 7x + 2x + 5x = 14x. Where X is a positive integer. The question can now be rephrased to What is the value of 14x?

1). women + children=12

7x + 5x = 12 then 14x = 14. Sufficient to answer the question.

2). number of men is less than 4

2x < 4, Implies x = 1 as(x>0 and x is an integer), then 14x = 14.Sufficient to answer the question.

IMO D

Anil Gandham
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