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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, 02:18

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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?

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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?

Re: A 50-liter 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?

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

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24 Oct 2014, 09:55

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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, 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

"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."

Worried About IDIOMS?Here is a Daily Practice List: https://gmatclub.com/forum/idiom-s-ydmuley-s-daily-practice-list-250731.html#p1937393

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475

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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23 Jun 2017, 15:35

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) ...

Re: A 50-liter 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 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.

Good one
_________________

"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."

Worried About IDIOMS?Here is a Daily Practice List: https://gmatclub.com/forum/idiom-s-ydmuley-s-daily-practice-list-250731.html#p1937393

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475

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."

Worried About IDIOMS?Here is a Daily Practice List: https://gmatclub.com/forum/idiom-s-ydmuley-s-daily-practice-list-250731.html#p1937393

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475