Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Solution X is 30% alcohol by volume, solution Y is [#permalink]
25 May 2018, 14:06

1

This post received KUDOS

Expert's post

00:00

Question Stats:

90% (01:35) correct
10% (00:00) wrong based on 10 sessions

Solution X is 30% alcohol by volume, solution Y is 10% alcohol by volume, and solution Z is 40% alcohol by volume. If 41 gallons of solution X, 20 gallons of solution Y, and 20 gallons of solution Z are combined, which of the following best approximates the percentage of alcohol in the resulting mixture?

Re: Solution X is 30% alcohol by volume, solution Y is [#permalink]
27 May 2018, 00:49

The change in approximation due to 41 gallon ads 0.3 to the numerator and 1 to the denominator. I had to calculate the complete problem to reach to the correct answer. Is there a better way and simpler way t select between last two options??

Re: Solution X is 30% alcohol by volume, solution Y is [#permalink]
29 May 2018, 05:58

1

This post received KUDOS

Expert's post

GreenlightTestPrep wrote:

Solution X is 30% alcohol by volume, solution Y is 10% alcohol by volume, and solution Z is 40% alcohol by volume. If 41 gallons of solution X, 20 gallons of solution Y, and 20 gallons of solution Z are combined, which of the following best approximates the percentage of alcohol in the resulting mixture?

A) 20.13 B) 24.91 C) 25.07 D) 27.46 E) 27.53

We can avoid tedious calculations by creating this mixture in parts

First combine 20 gallons of solution Y (10% alcohol) with 20 gallons of solution Z (40% alcohol) Since we have EQUAL volumes of each solution, the percentage of alcohol in the resulting mixture will be the AVERAGE of the two concentrations. So, concentration of alcohol in new mixture = (10% + 40%)/2 = 25% So, now have 40 gallons of a solution that's 25% alcohol.

Next, add 41 gallons of solution X (30% alcohol) to this 40-gallon mixture (25% alcohol) KEY POINT: If we were to add 40 gallons of solution X (30% alcohol) to the 40-gallon mixture (25% alcohol), then we'd have EQUAL volumes of each solution. In this case the percentage of alcohol in the resulting mixture WOULD equal the AVERAGE of the two concentrations. So, the concentration of alcohol in new mixture WOULD equal (30% + 25%)/2 = 27.5%

In reality we have 41 gallons of solution X (30%). Since the volume of solution X (30%) is greater than the volume of the existing solution (25%), the concentration will be closer to 30% than it is to 25% So, the concentration of the final solution will be a bit more than 27.5%

Answer: E

RELATED VIDEO

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Dayemails

greprepclubot

Re: Solution X is 30% alcohol by volume, solution Y is
[#permalink]
29 May 2018, 05:58