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A tank that was 40% full of oil was emptied into a 20-gallon

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GMAT Club Legend
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Joined: 07 Jun 2014
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A tank that was 40% full of oil was emptied into a 20-gallon [#permalink] New post 02 Jun 2018, 03:53
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Question Stats:

100% (00:51) correct 0% (00:00) wrong based on 9 sessions
A tank that was 40% full of oil was emptied into a 20-gallon bucket. If the oil fills 35% of the bucket’s volume, then what is the total capacity of the tank, in gallons?

(A) 8.75
(B) 15
(C) 16
(D) 17.5
(E) 19
[Reveal] Spoiler: OA

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Re: A tank that was 40% full of oil was emptied into a 20-gallon [#permalink] New post 04 Jun 2018, 07:09
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The answer is D because of following reasons:

1- 20 * .35 (since the oil in the tank can fill only this much of capasity) therefore = 7 gallon.
2- since we dont know the full capasity of the tank we denote it as X
3- 7 is 40% of X Therefore 7=.40X.
4- 7/.40= X
5- 17.5 = X

OPTION D is the answer
GMAT Club Legend
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Joined: 07 Jun 2014
Posts: 4751
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Re: A tank that was 40% full of oil was emptied into a 20-gallon [#permalink] New post 14 Jul 2018, 04:48
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Explanation

First find the volume of oil in the bucket. The oil fills 35% of the bucket’s 20-gallon volume, or (20)(0.35) = 7 gallons of oil.

These 7 gallons originally filled 40% of the tank. If T is the volume of the tank, T(0.4) = 7, so T = 17.5 gallons.
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Re: A tank that was 40% full of oil was emptied into a 20-gallon   [#permalink] 14 Jul 2018, 04:48
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A tank that was 40% full of oil was emptied into a 20-gallon

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