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okigbo: Master | Next Rank: 500 Posts; Posts: 177; Joined: Sun Aug 02, 2009 9:39 pm; Thanked: 6 times

by okigbo » Mon Nov 09, 2009 11:17 am

If Pool Y currently contains more water than Pool X, and if Pool X is currently filled to 2/7 of its capacity, what percent of the water currently in Pool Y needs to be transferred to Pool X if Pool X and Pool Y are to have equal volumes of water?

(1) If all the water currently in Pool Y were transferred to Pool X, Pool X would be filled to 6/7 of its capacity.

(2) Pool X has a capacity of 14,000 gallons.

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Source: Beat The GMAT — Data Sufficiency | Mon Nov 09, 2009 11:17 am

palvarez: Master | Next Rank: 500 Posts; Posts: 199; Joined: Sat Oct 24, 2009 4:43 pm; Thanked: 22 times; GMAT Score:710

by palvarez » Mon Nov 09, 2009 1:14 pm

C_y > C_x
C_x = (2/7) V_x

What is (1/2)(C_y - C_x)/C_y = 1/2 ( 1- (C_x/C_y))

1. C_y + C_x = (6/7) V_x
C_y = (4/7)V_x
C_x/C_y = 1/2

Sufficient.

A is the answer

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viju9162: Master | Next Rank: 500 Posts; Posts: 434; Joined: Mon Jun 11, 2007 9:48 pm; Location: Bangalore; Thanked: 6 times; GMAT Score:600

by viju9162 » Mon Nov 09, 2009 10:30 pm

Hi Palvarez,

I understand that 4/7th of water is transferred to pool X. However, I didn't quite understand how to determine percent of the water transferred from Y ..

Regards,
Viju

"Native of" is used for a individual while "Native to" is used for a large group

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palvarez: Master | Next Rank: 500 Posts; Posts: 199; Joined: Sat Oct 24, 2009 4:43 pm; Thanked: 22 times; GMAT Score:710

by palvarez » Mon Nov 09, 2009 10:34 pm

You are given a and b, such that a > b

how to make them even?

Take the difference and split between two.

a - (a-b)/2 = b + (a-b)/2

In other words, you need to know how much percent of a is (a-b)/2? In order to answer that question, if you know a/b or b/a, that is enough.

C = current content
V = actual volume.

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