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# Bottle X is 2/3 full of water, which is half the capacity of

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Manager
Joined: 10 Oct 2005
Posts: 51
Bottle X is 2/3 full of water, which is half the capacity of [#permalink]

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25 Jun 2006, 17:18
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Bottle X is 2/3 full of water, which is half the capacity of Bottle Y. Bottle Y is 3/4 as full of water and has twice the capacity of bottle Z which is 1/4 full of water. If all the water from both Bottle X and Bottle Z were poured into Bottle Y, Bottle Y would then be filled to what fraction of its capacity?

(A) 29/24
(B) 7/8
(C) 5/6
(D) 3/4
(E) 2/3
Senior Manager
Joined: 07 Jul 2005
Posts: 404
Location: Sunnyvale, CA

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25 Jun 2006, 17:27
(A)

Capacity of Y - a
then, capacity of X and Z - a/2

3/4a + 2/3 (a/2) + 1/4(a/2)
= 29/24a
25 Jun 2006, 17:27
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