If tank x contains only gasoline, how many kiloliters of gas

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If tank x contains only gasoline, how many kiloliters of gas [#permalink]

06 Feb 2013, 21:51

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I narrowed it down to C or E.

The correct answer is C.. but I just dont understand how to figure out mathematically why its C.

Appreciate the help!

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Re: If Tank X.. [#permalink]

06 Feb 2013, 22:40

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exploringm wrote:

If tank x contains only gasoline, how many kiloliters of gasoline are in tank x?

(1) if 1/2 of the gas in tank x were pumped out, the tank would be filled to 1/3 of its capacity
(2) if .75 kiloliter of gas were pumped into tank x, it would be filled to capacity

I narrowed it down to C or E.

The correct answer is C.. but I just dont understand how to figure out mathematically why its C.

Appreciate the help!

1) It can be concluded from this statement that the tank is currently filled to \frac{2}{3}^{rd} of its capacity. But we do not know what the capacity of the tank is. Insufficient.

2) We do not know what the capacity of the tank is or to what extent the tank is already filled. Insufficient.

1 & 2 together.,

The tank is filled to \frac{2}{3}^{rd} of its capacity. So filling \frac{1}{3}^{rd} of its capacity would fill the tank. So, 0.75 kiloliters is \frac{1}{3}^{rd} of its capacity. So, the capacity of the tank is simply 0.75*3. Sufficient.

Answer is C
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Re: If Tank X.. [#permalink]

06 Feb 2013, 22:43

exploringm wrote:

Lets say The total capacity of the tank = T
Current amount of gasoline in the tank = C
Question asks the value of C

Statement 1- if 1/2 of the gas in tank x were pumped out, the tank would be filled to 1/3 of its capacity
C - (1/2)C = (1/3)T
(1/2)C= (1/3)T
C= (2/3)T
Value of T is unknown. Thus insufficient

Statement 2- if .75 kiloliter of gas were pumped into tank x, it would be filled to capacity
C + 0.75 = T
C= T - 0.75
Value of T is unknown. Thus insufficient

Statement 1 & 2-
C= (2/3)T -----(Statement 1)
C= T - 0.75 -----(Statement 2)
(2/3)T = T - 0.75
(1/3) T = 0.75
T = 3 * 0.75 = 2.25
Value of T is 2.25 and thus we can calculate the value of C as well. Thus Sufficient
So the answer is C

Hope this detailed explanation helps.

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Re: If Tank X.. [#permalink] 06 Feb 2013, 22:43

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If tank x contains only gasoline, how many kiloliters of gas

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If tank x contains only gasoline, how many kiloliters of gas

If tank x contains only gasoline, how many kiloliters of gas

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