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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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New post 28 Jun 2016, 06:50
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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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New post 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

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

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New post 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
Capture.PNG [ 4.62 KiB | Viewed 1354 times ]


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

Hence answer will be (B)

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

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New post 28 Jun 2016, 20:40
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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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New post 28 Jun 2016, 22:59
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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.
Answer (B)
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Re: A 340-liter solution of Kola is made from 88% water, 5% concentrated K  [#permalink]

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New post 30 Jul 2018, 23:18
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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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