A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 : GMAT Problem Solving (PS)
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# A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5

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CEO
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A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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24 Nov 2007, 01:18
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Question Stats:

76% (02:32) correct 24% (01:39) wrong based on 210 sessions

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A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 liters of alcohol and 8.5 liters of water are added to this solution, what percent of the solution produced is alcohol?

A. 5.5%
B. 6%
C. 6 1/3%
D. 6 2/3%
E. 7%
[Reveal] Spoiler: OA

Last edited by Bunuel on 25 Oct 2014, 05:19, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to PS forum.
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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24 Nov 2007, 01:44
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bmwhype2 wrote:
A 50 liter solution of alcohol and water is 5% alcohol. If 1.5 liters of alcohol and 8.5 liters are added to the solution, what percent of the solution produced is alcohol?

= 4/60
= 1/15
= 6.67%
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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24 Nov 2007, 14:11
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I disagree

50L * .05 = 2.5 L of alc, 50L - 2.5L = 47.5L of water

2.5 + 1.5 = 4L of alcohol in new solution

47.5L + 8.5L = 56L of water

4L / 56L = 1/14

this is ~7%
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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24 Nov 2007, 14:25
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Expert's post
C1=Va/(Va+Vw) where, C -concentration; Va - volume of alcohol, Vm - volume of water. Vtotal=(Va+Vw) - total volume.

C1=Va/(Va+Vw)

C2=(Va+dVa)/(Va+Vw+dVa+dVw) where dVa - additional volume of alcohol, dVm - additional volume of water

C2=(C1*Vtotal+dVa)/(Vtotal+dVa+dVw)

C2=(0.05*50+1.5)/(50+1.5+8.5)=4/60=1/15~0.06666666 ==>6,(6)%
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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30 Nov 2007, 10:39
GMAT TIGER wrote:
bmwhype2 wrote:
A 50 liter solution of alcohol and water is 5% alcohol. If 1.5 liters of alcohol and 8.5 liters are added to the solution, what percent of the solution produced is alcohol?

= 4/60
= 1/15
= 6.67%

5% of 50 = 2.5 liters of alcohol

50+10=60

2.5+1.5=4

4/60=2/30=1/15=6.67%
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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30 Nov 2007, 10:40
Dakinemon wrote:
I disagree

50L * .05 = 2.5 L of alc, 50L - 2.5L = 47.5L of water

2.5 + 1.5 = 4L of alcohol in new solution

47.5L + 8.5L = 56L of water

4L / 56L = 1/14

this is ~7%

u took the percentage of alcohol from total water
Q asked for percentage of alcohol from total solution
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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24 Oct 2014, 08:55
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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02 Apr 2016, 11:19
5% alcohol in 50 litre solution = 2.5 litres
adding 1.5 litres to it makes it total of 4 litres
total solution = 60 litres
% alcohol = 4/60 * 100 = 6.666667%
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Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]

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02 Apr 2016, 13:00
let x=% of alcohol in final solution
2.5+1.5=60x
x=1/15=6 2/3%
Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5   [#permalink] 02 Apr 2016, 13:00
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