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When n liters of fuel was added to a tank that was already [#permalink]

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20 Apr 2012, 06:55

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When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?

When n liters of fuel was added to a tank that was already 1/3 full, the tank was filled to 7/9 of its capacity. In terms of n, what is the capacity of the tank, in liters?

A. 10/9 n B. 4/3 n C. 3/2 n D. 9/4 n E. 7/3n

Say the capacity of the tank is 9 liters;

So, there are already 3 liters (1/3*9=3) of fuel and after adding n liters there are 7 liters (7/9*9=7) --> 3+n=7 --> n=4 --> capacity=9=n*9/4.

Or just plug n=4 in the answer choices to see which option yields 9, answer choice D fits: 9/4*4=9.

Re: When n liters of fuel was added to a tank that was already [#permalink]

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20 Apr 2012, 08:15

Or you can also solve it another way, check for the integer, which is divisible by both the fractions, here we can take 18 liters as the capacity of the tank.

Then 1/3 of fuel is 6 liters, and 7/9 capacity will be 14 liters. From this we can get the n value as n = 14-6 = 8. Try to substitute this value in the below options and only option 'D' get the value of 18 as the total capacity.

Or you can also solve it another way, check for the integer, which is divisible by both the fractions, here we can take 18 liters as the capacity of the tank.

Then 1/3 of fuel is 6 liters, and 7/9 capacity will be 14 liters. From this we can get the n value as n = 14-6 = 8. Try to substitute this value in the below options and only option 'D' get the value of 18 as the total capacity.

The lowest value for the capacity for which 1/3*capacity and 7/9*capacity are integers is 9 (LCM of 3 and 9). Refer to the solution above.
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Re: When n liters of fuel was added to a tank that was already [#permalink]

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27 Dec 2014, 09:35

Hello from the GMAT Club BumpBot!

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Re: When n liters of fuel was added to a tank that was already [#permalink]

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14 Jan 2016, 01:39

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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Re: When n liters of fuel was added to a tank that was already [#permalink]

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20 Feb 2017, 18:15

Also, we can answer it this way,

1/3*c+n=7/9*c c/3+n=7c/9 n=7c/9-c/3 n=4c/9

The question asked is what is the capacity of the tank, in liters? so here as we have already considered C as the capacity of the tank. C=9/4*n which is the option D.

gmatclubot

Re: When n liters of fuel was added to a tank that was already
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20 Feb 2017, 18:15

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