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# When 200 gallons of oil were removed from a tank, the volume of oil

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Manager
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When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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25 Mar 2009, 23:05
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Question Stats:

75% (01:35) correct 25% (01:43) wrong based on 469 sessions

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When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was $$\frac{3}{7}$$ of the tank's capacity. What was the tank’s capacity?

(1) Before the 200 gallons were removed, the volume of oil in the tank was $$\frac{1}{2}$$ of the tank's capacity.
(2) After the 200 gallons were removed, the volume of the oil left in the tank was 1,600 gallons less than the tank's capacity.

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Manager
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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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26 Mar 2009, 02:55
D
(1) 1/2*x-3/7*x=200 , can solve for x
(2) x-1600=3/7*x
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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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26 Mar 2009, 03:31
3
A : 1/2*x-3/7*x=200 SUFFICIENT
B : x-1600=3/7*x SUFFICIENT
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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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19 Oct 2011, 04:27
1
:D:

Let current quantity in tank = X and Tank's total capacity = T
Now, X - 200 = 3T/7

So, if we know X we could solve for T.

1. Suff.
2. Tricky but Suff. Since T - 1600 = 3T/7
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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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04 Jul 2017, 04:29
Let the total volume of the tank be X. Therefore X-200 = 3/7(x). I derived this information from the question stem. Where am i going wrong in my approach??
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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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04 Jul 2017, 21:49
longhaul123 wrote:
Let the total volume of the tank be X. Therefore X-200 = 3/7(x). I derived this information from the question stem. Where am i going wrong in my approach??

This is not correct because we don't know whether the tank initially was full to capacity. So, it should be x - 200 = 3/7*t, where x is the initial volume of the liquid and t is the total capacity of the tank.
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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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05 Jul 2017, 23:20
milind1979 wrote:
When 200 gallons of oil were removed from a tank, the volume of oil left in the tank was $$\frac{3}{7}$$ of the tank's capacity. What was the tank’s capacity?

(1) Before the 200 gallons were removed, the volume of oil in the tank was $$\frac{1}{2}$$ of the tank's capacity.
(2) After the 200 gallons were removed, the volume of the oil left in the tank was 1,600 gallons less than the tank's capacity.

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 Question: 27 Page: 275 Difficulty: 600

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When 200 Gallons was removed - 3/7 was left of tank's capacity.

With this in order to calculate the tanks capacity, we need to know what does 200 gallons corresponds to or what is the remaining 3/7 capacity corresponds to.

(1) Before the 200 gallons were removed, the volume of oil in the tank was $$\frac{1}{2}$$ of the tank's capacity.

Provides information on what 200 gallons corresponds to overall tank volume, hence sufficient.

(2) After the 200 gallons were removed, the volume of the oil left in the tank was 1,600 gallons less than the tank's capacity.

Provides information on what the 3/7th volume corresponds to, hence sufficient.

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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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24 Jul 2017, 04:35
Each of the Statement is sufficient.
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Re: When 200 gallons of oil were removed from a tank, the volume of oil  [#permalink]

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07 Nov 2019, 08:06
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Re: When 200 gallons of oil were removed from a tank, the volume of oil   [#permalink] 07 Nov 2019, 08:06
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