word problem

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word problem

by sud21 » Thu Jan 19, 2012 11:30 pm
There are some green balls and blue balls in a box. what is the total number of the balls?
1) The number of the green balls is 1/3 of the number of the total balls
2) If one green ball is taken out, the remaining green balls are 1/5 of the balls in the box.
Source: — Data Sufficiency |

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by Anurag@Gurome » Fri Jan 20, 2012 12:30 am
sud21 wrote:There are some green balls and blue balls in a box. what is the total number of the balls?
1) The number of the green balls is 1/3 of the number of the total balls
2) If one green ball is taken out, the remaining green balls are 1/5 of the balls in the box.
Let Green balls = G, blue balls = B and total balls = T
G + B = T
(1) G = T/3, the info in this statement does not help to find the total balls; NOT sufficient.

(2) G - 1 = (T - 1)/5, there can be many possibilities according to the given info; NOT sufficient.

Combining (1) and (2), we have
T/3 - 1 = (T - 1)/5
5T - 15 = 3T - 3
2T = 12 implies T = 6; SUFFICIENT.

The correct answer is C.
Anurag Mairal, Ph.D., MBA
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Gurome, Inc.
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