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A 50 liter solution of alcohol and water is 5% alcohol. If

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A 50 liter solution of alcohol and water is 5% alcohol. If [#permalink] New post 24 Nov 2007, 01:18
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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?
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Re: mixtures - alcohol [#permalink] New post 24 Nov 2007, 01:44
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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 [#permalink] New post 24 Nov 2007, 14:11
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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 [#permalink] New post 24 Nov 2007, 14:25
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: mixtures - alcohol [#permalink] New post 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

10 liters added
50+10=60

2.5+1.5=4

4/60=2/30=1/15=6.67%
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 [#permalink] New post 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% alcohol. If [#permalink] New post 24 Oct 2014, 08:55
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Re: A 50 liter solution of alcohol and water is 5% alcohol. If   [#permalink] 24 Oct 2014, 08:55
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