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Might be really easy but couldn't figure it out

This topic has 1 expert reply and 2 member replies
imane81 Senior | Next Rank: 100 Posts Default Avatar
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Might be really easy but couldn't figure it out

Post Fri Jan 22, 2010 12:35 pm
Thank for solving this one ..

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

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Post Sat Jan 23, 2010 1:05 am
imane81 wrote:
Thank for solving this one ..

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. 10/9n
B. 4/3n
C. 3/2n
D. 9/4n
E. 7/3n
This is an ideal situation for picking numbers if the algebra doesn't leap out at you.

We have 1/3 and 7/9, so let's set the capacity of the tank at 9 litres to keep the arithmetic simple.

We started at 1/3 full: that's 3 litres.
We ended at 7/9 full: that's 7 litres.

Therefore, we added 4 litres, i.e. n=4.

Since the question is asking for the capacity of the tank in terms of n, we want to pick the choice that gives us a value of 9 (the capacity of our tank) when we plug in n=4.

a) 40/9... bzzt
b) 16/3... bzzt
c) 12/2... bzzt
d) 36/4... ding ding - we have a winner!

Since all the choices are simple multiples of n, no need to check (e).

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thephoenix Legendary Member
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Post Fri Jan 22, 2010 10:14 pm
imane81 wrote:
Thank for solving this one ..

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. 10/9n
B. 4/3n
C. 3/2n
D. 9/4n
E. 7/3n
eqn is (1/3)x+n=(7/9)x
solving for x=(9/4) n

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GMAT/MBA Expert

Stuart Kovinsky GMAT Instructor
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GMAT Score:
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Post Sat Jan 23, 2010 1:05 am
imane81 wrote:
Thank for solving this one ..

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. 10/9n
B. 4/3n
C. 3/2n
D. 9/4n
E. 7/3n
This is an ideal situation for picking numbers if the algebra doesn't leap out at you.

We have 1/3 and 7/9, so let's set the capacity of the tank at 9 litres to keep the arithmetic simple.

We started at 1/3 full: that's 3 litres.
We ended at 7/9 full: that's 7 litres.

Therefore, we added 4 litres, i.e. n=4.

Since the question is asking for the capacity of the tank in terms of n, we want to pick the choice that gives us a value of 9 (the capacity of our tank) when we plug in n=4.

a) 40/9... bzzt
b) 16/3... bzzt
c) 12/2... bzzt
d) 36/4... ding ding - we have a winner!

Since all the choices are simple multiples of n, no need to check (e).

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