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SVP  Joined: 21 Jan 2007
Posts: 2463
Location: New York City
A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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2
5 00:00

Difficulty:   35% (medium)

Question Stats: 75% (01:55) correct 25% (02:16) wrong based on 362 sessions

### HideShow timer Statistics 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%

Originally posted by bmwhype2 on 24 Nov 2007, 02:18.
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.
SVP  Joined: 29 Aug 2007
Posts: 2247
Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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1
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%
Intern  Joined: 06 Nov 2004
Posts: 9
Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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1
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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Joined: 17 Nov 2007
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GMAT 1: 750 Q50 V40 Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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1
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)%
SVP  Joined: 21 Jan 2007
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Location: New York City
Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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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%
SVP  Joined: 21 Jan 2007
Posts: 2463
Location: New York City
Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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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
Senior Manager  G
Joined: 24 Nov 2015
Posts: 496
Location: United States (LA)
Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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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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Posts: 1206
Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5  [#permalink]

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let x=% of alcohol in final solution
2.5+1.5=60x
x=1/15=6 2/3%
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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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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

$$4/60*100 = 6.66$$

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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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ydmuley

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?

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

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bmwhype2 wrote:
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%

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

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sashiim20 wrote:
bmwhype2 wrote:
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%

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.

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"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

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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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Leo8 wrote:
ydmuley

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?

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
_________________
"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475
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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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_________________ Re: A 50-liter solution of alcohol and water is 5 percent alcohol. If 1.5   [#permalink] 19 Sep 2018, 02:52
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