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A small pool filled only with water will require an addition

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A small pool filled only with water will require an addition  [#permalink]

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New post 29 Jul 2013, 00:01
4
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A
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E

Difficulty:

  65% (hard)

Question Stats:

65% (01:30) correct 35% (01:03) wrong based on 327 sessions

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A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625

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Re: A small pool filled only with water will require an addition  [#permalink]

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New post 29 Jul 2013, 00:09
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fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625


Since pumping in additional 300 gallons of water will increase the amount of water in the pool by 30%, then initially the pool is filled with 1,000 gallons of water.

So, we have that 1,000 + 300 = 0.8*{total} --> {total} = 1,625.

Answer: E.

Hope it's clear.
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Re: A small pool filled only with water will require an addition  [#permalink]

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New post 30 Jul 2013, 07:33
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fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625


Difficult one in terms of understanding the wording under exam conditions.

we know that 300 gallons will increase the amount of existing water up to 30%, lets say there are x gallons of water and we add 300 => x+300=1.3x => x=1000
Now we now that 1000 gallons already exist in the tank and we add 300 => 1000+300=1300, which is 80% of the total capacity.
So the total capacity is (1300*100)/80=1625
Answer is E.
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A small pool filled only with water will require an addition  [#permalink]

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New post 11 Jul 2016, 05:57
1
fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625


Another way of thinking about this..
we know that adding 300 gallons will increase the water currently in the pool by 30%..
Or...the water will become 130% of itself..and we also know that 30% of the water currently in the pool is 300 gallons..

By unitary method..
if 30% --- 300 gallons
then 130% --- \(300 * \frac{130}{100}\)

This is 80% of the total capacity..so the total capacity will be this value multiplied with

\(\frac{100}{80}\)

Thus the total capacity is

\(300 * \frac{130}{100}*\frac{100}{80}\)

Which gives us..? (E)

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Re: A small pool filled only with water will require an addition  [#permalink]

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New post 14 Jul 2016, 03:14
let the total capacity and initial water level be x and y respectively

now, as per the question

y+300=.8x -----1

y+300=1.3y ----2
.3y=300
y=1000

substitute in equation 1

1300=.8x
x=13000/8 = 1625
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Re: A small pool filled only with water will require an addition  [#permalink]

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New post 14 Jul 2016, 04:21
fameatop wrote:
A small pool filled only with water will require an additional 300 gallons of water in order to be filled to 80% of its capacity. If pumping in these additional 300 gallons of water will increase the amount of water in the pool by 30%, what is the total capacity of the pool in gallons?

A. 1000
B. 1250
C. 1300
D. 1600
E. 1625


300 gallons of water increases capacity by 30% that means

30% is 300 gallons, so 100% would be = 300*100/30= 1000 gallons

Now 1000 +300 gallons is 80% capacity of tank.

so 100% capacity would be= 1300 *100/80= 1625

E is the answer
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Re: A small pool filled only with water will require an addition  [#permalink]

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Re: A small pool filled only with water will require an addition &nbs [#permalink] 01 Nov 2017, 17:41
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