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A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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24 Nov 2007, 02:18
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A 50liter 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%
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Last edited by Bunuel on 25 Oct 2014, 06:19, 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 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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24 Nov 2007, 02:44
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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 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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24 Nov 2007, 15:11
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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 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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24 Nov 2007, 15:25
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 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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30 Nov 2007, 11:39
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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Re: A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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30 Nov 2007, 11:40
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 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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Re: A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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02 Apr 2016, 12:19
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% Answer  D



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Re: A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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02 Apr 2016, 14:00
let x=% of alcohol in final solution 2.5+1.5=60x x=1/15=6 2/3%



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Re: A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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23 Jun 2017, 15:11
I am not clear on this question, shouldn't the answer be 7%? As new solution will be 4 Ltrs Alcohol & 56 Ltrs of Water = 60 in Total \(4/60*100 = 6.66\) Please advise if you I am going wrong here? Bunuel, Abhishek009  Please advise
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Re: A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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23 Jun 2017, 15:34
ydmuleyA 50liter 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?we are asked to find the exact percent why are you rounding off the value? \(\frac{4}{60}\) * 100 = \(\frac{20}{3}\) = 6 \(\frac{2}{3}\) = Ans is D
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A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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23 Jun 2017, 15:35
bmwhype2 wrote: A 50liter 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% Solution \(= 50\) liters
Alcohol is 5% of 50 \(= \frac{5}{100} * 50 = 2.5\) liters
1.5 liters of alcohol added. Therefore Total liters of alcohol \(= 2.5 + 1.5 = 4\) liters.
1.5 liters of alcohol and 8.5 liters of water is added to solution \(= 50 + 1.5 + 8.5 = 60\) liters.
Percentage of alcohol in new solution \(= \frac{4}{60} * 100 = 66.67\)% or \(6 \frac{2}{3}\) % . Answer (D) ...



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Re: A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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23 Jun 2017, 15:40
sashiim20 wrote: bmwhype2 wrote: A 50liter 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% Solution \(= 50\) liters
Alcohol is 5% of 50 \(= \frac{5}{100} * 50 = 2.5\) liters
1.5 liters of alcohol added. Therefore Total liters of alcohol \(= 2.5 + 1.5 = 4\) liters.
1.5 liters of alcohol and 8.5 liters added to solution \(= 50 + 1.5 + 8.5 = 60\) liters.
Percentage of alcohol in new solution \(= \frac{4}{60} * 100 = 66.67\)% or \(6 \frac{2}{3}\) % . Answer (D) ... Once again thanks for the explanation, it was helpful. Where I went wrong is incorrectly reading option C & D as \(62/3\) and \(61/3\) Hence, I was left with option E which was more closer to the number. Good one
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Re: A 50liter solution of alcohol and water is 5 percent alcohol. If 1.5 [#permalink]
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23 Jun 2017, 15:44
Leo8 wrote: ydmuleyA 50liter 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?we are asked to find the exact percent why are you rounding off the value? \(\frac{4}{60}\) * 100 = \(\frac{20}{3}\) = 6 \(\frac{2}{3}\) = Ans is D Got it Leo8  Thank you. I misread the answer choices as 61/3 & 62/3
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