When n liters of fuel was added to

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ska7945: Master | Next Rank: 500 Posts; Posts: 200; Joined: Thu Aug 07, 2008 5:14 pm; Thanked: 1 times

by ska7945 » Sat Aug 23, 2008 6:55 pm

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?

1.10n/9
2.4n/3
3.3n/2
4.9n/4
5.7n/3

oa D

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Source: Beat The GMAT — Problem Solving | Sat Aug 23, 2008 6:55 pm

vishubn: Legendary Member; Posts: 574; Joined: Sun Jun 01, 2008 8:48 am; Location: Bangalore; Thanked: 28 times

by vishubn » Sat Aug 23, 2008 8:36 pm

let the original fuel capacity be x
and tank is already 1/3rd full 1/3x

when n litres of fuel is added
Now new capacity =(1/3)x +n=(7/9)x
n=(7/9)x-(1/3)x
n=x(7/9-1/3)
n=x(7-3/9)
n=x(4/9)
x=9n/4 is the answer hence D is the option

hope it helps

Vishu

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dnairo1981: Newbie | Next Rank: 10 Posts; Posts: 9; Joined: Tue Jul 17, 2007 8:35 pm; Location: seattle; Thanked: 1 times

by dnairo1981 » Sun Aug 24, 2008 7:13 pm

I also found picking numbers easy

Let capacity = 27

The tank was filled to 7/9 capacity

7/9 * 27 = 21

tank was already 1/3 full

1/3 * 27 = 9

n = 12 ( 12 + 9 = 21)

Use n = 12 in anwer choices

D. 9n/4

9 * 12/ 4 = 9 * 3 = 27

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sudi760mba: Senior | Next Rank: 100 Posts; Posts: 85; Joined: Wed Aug 13, 2008 2:21 am; Thanked: 1 times

Re: When n liters of fuel was added to

by sudi760mba » Sun Mar 08, 2009 3:17 pm

ska7945 wrote: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?

1.10n/9
2.4n/3
3.3n/2
4.9n/4
5.7n/3

oa D

1. n+ 1/3 = 7/9
2. n= (7/9)- (1/3)
3. n=(7/9) - (3/9)
4. n=(4/9)
5. 9n=4 (multiply either side by 9)
6.9n/4 (divide both sides by 4)

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logitech: Legendary Member; Posts: 2134; Joined: Mon Oct 20, 2008 11:26 pmFollowed by: 25 members; Thanked: 237 times; GMAT Score:730

Re: When n liters of fuel was added to

by logitech » Sun Mar 08, 2009 3:30 pm

1/3 = 3/9

So 3/9 + n = 7/9

n = 4/9 ---> 9n/4 = 1

LGTCH
---------------------
"DON'T LET ANYONE STEAL YOUR DREAM!"

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Scott@TargetTestPrep: GMAT Instructor; Posts: 8175; Joined: Sat Apr 25, 2015 10:56 amFollowed by: 29 members; Location: Los Angeles, CA; Thanked: 43 times

Re: When n liters of fuel was added to

by Scott@TargetTestPrep » Sat May 01, 2021 6:16 am

ska7945 wrote: ↑
Sat Aug 23, 2008 6:55 pm
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?

1.10n/9
2.4n/3
3.3n/2
4.9n/4
5.7n/3

oa D

Solution:

We can let the full capacity of the tank be C liters and create the equation:

1/3 C + n = 7/9 C

3/9 C + n = 7/9 C

n = 4/9 C

9/4 n = C

Answer: D

Scott Woodbury-Stewart
Founder and CEO
[email protected]

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