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# A 340-liter solution of Kola is made from 88% water, 5% concentrated K

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A 340-liter solution of Kola is made from 88% water, 5% concentrated K  [#permalink]

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28 Jun 2016, 06:50
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Difficulty:

35% (medium)

Question Stats:

73% (02:42) correct 27% (03:03) wrong based on 128 sessions

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A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?

A. 6%.
B. 7.5%.
C. 9.2%.
D. 10.5%.
E. 11%.

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Re: A 340-liter solution of Kola is made from 88% water, 5% concentrated K  [#permalink]

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28 Jun 2016, 07:16
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Bunuel wrote:
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?

A. 6%.
B. 7.5%.
C. 9.2%.
D. 10.5%.
E. 11%.

Denominator:
340+10+3.2+6.8=360

Numerator:
340(1-.88-.05)+3.2
340(0.07)+3.2
23.8+3.2
27

Ratio:
27/360=3/40

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Re: A 340-liter solution of Kola is made from 88% water, 5% concentrated K  [#permalink]

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28 Jun 2016, 10:52
Bunuel wrote:
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?

A. 6%.
B. 7.5%.
C. 9.2%.
D. 10.5%.
E. 11%.

Attachment:

Capture.PNG [ 4.62 KiB | Viewed 1354 times ]

Percent of sugar in the solution is = $$\frac{27}{356.8} * 100$$ => 7.57%

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A 340-liter solution of Kola is made from 88% water, 5% concentrated K  [#permalink]

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28 Jun 2016, 20:40
1
let x=% of sugar in solution
.07*340+3.2=360x
x=.075=7.5%
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Re: A 340-liter solution of Kola is made from 88% water, 5% concentrated K  [#permalink]

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28 Jun 2016, 22:59
2
2
Bunuel wrote:
A 340-liter solution of Kola is made from 88% water, 5% concentrated Kola and the rest is made from sugar. If 3.2 liters of sugar, 10 liter of water and 6.8 liters of concentrated Kola were added to the solution, what percent of the solution is made from sugar?

A. 6%.
B. 7.5%.
C. 9.2%.
D. 10.5%.
E. 11%.

One can approximate comfortably here:

340 liter solution has 7% sugar.
3.2 + 10 + 6.8= 20 liter solution has 3.2 later sugar. This is 3.2/20 *100 = 16%.

Note that the two solutions are mixed in the ratio 340:20 = 17:1. So the final concentration of sugar will be much much closer to 7.
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Re: A 340-liter solution of Kola is made from 88% water, 5% concentrated K  [#permalink]

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30 Jul 2018, 23:18
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: A 340-liter solution of Kola is made from 88% water, 5% concentrated K &nbs [#permalink] 30 Jul 2018, 23:18
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