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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 350,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

Mixtures problems! [#permalink]
02 Oct 2010, 05:46

1

This post received KUDOS

00:00

A

B

C

D

E

Difficulty:

(N/A)

Question Stats:

38% (01:55) correct
63% (07:35) wrong based on 13 sessions

Hi, Im posting two basic mixture problems below. The questions seem to be quite similar, but i could not get the hang of the main approach used to solve these particular kind of mixture problems. Also, i'm assuming that for these problems, the usual mixtures ratio method of solving does not hold. Do Correct me if i am wrong.

1) A solution is 90% glycerin. If there are 4 gallons of the solution, how much water, in gallons must be addded to make a 75% glycerin solution?

2) A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?

a) 10 glas b) 8.5 gals c) 8 gals d) 6.66 gals e) 8.33 gals

Re: Mixtures problems! [#permalink]
02 Oct 2010, 06:01

1

This post received KUDOS

Expert's post

nehab2011 wrote:

Hi, Im posting two basic mixture problems below. The questions seem to be quite similar, but i could not get the hang of the main approach used to solve these particular kind of mixture problems. Also, i'm assuming that for these problems, the usual mixtures ratio method of solving does not hold. Do Correct me if i am wrong.

1) A solution is 90% glycerin. If there are 4 gallons of the solution, how much water, in gallons must be addded to make a 75% glycerin solution?

2) A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?

a) 10 glas b) 8.5 gals c) 8 gals d) 6.66 gals e) 8.33 gals

Any suggestions as to how these are solved would be helpful. Thank you!

1. A solution is 90% glycerin. If there are 4 gallons of the solution, how much water, in gallons must be addded to make a 75% glycerin solution?

a) 1.8 b) 1.4 c) 1.2 d) 1.0 e) 0.8

In 4 gallons of the solution there are 0.9*4=3.8 gallons of glycerin. We want to add w gallons of water to 4 gallons of solution so that these 3.6 gallons of glycerin to be 75% of new solution: 0.9*4=0.75(4+w) --> w=0.8

Answer: E.

2. A mixture of 125 gallons of wine and water contains 20% water. How much water must be added to the mixture in order to increase the percentage of water to 25% of the new mixture?

a) 10 glas b) 8.5 gals c) 8 gals d) 6.66 gals e) 8.33 gals

In 125 gallons of the solution there are 0.2*125=25 gallons of water. We want to add w gallons of water to 125 gallons of solution so that 25+w gallons of water to be 25% of new solution: 25+w=0.25(125+w) --> w=\frac{25}{3}\approx{8.33}.

Re: Mixtures problems! [#permalink]
26 Feb 2011, 20:10

1

This post received KUDOS

Expert's post

nehab2011 wrote:

Hi, Im posting two basic mixture problems below. The questions seem to be quite similar, but i could not get the hang of the main approach used to solve these particular kind of mixture problems. Also, i'm assuming that for these problems, the usual mixtures ratio method of solving does not hold. Do Correct me if i am wrong.

There are many ways to solve such problems, though, the 'usual mixtures ratio method of solving' definitely works here too. Why wouldn't it? There are two solutions and they have to be mixed to get a third solution. It doesn't matter if one of the solutions is pure water.

4 gallons of 90% glycerin has to be mixed with 0% glycerin solution (pure water) to give 75% glycerin solution. So glycerin solution:water should be in the ratio 5:1. Since glycerin solution is 4 gallons, water will be 4/5 = 0.8 gallons

Re: Mixtures problems! [#permalink]
26 Feb 2011, 20:33

karishma - Pardon me. please rephrase this in red. Thanks

VeritasPrepKarishma wrote:

nehab2011 wrote:

Hi, Im posting two basic mixture problems below. The questions seem to be quite similar, but i could not get the hang of the main approach used to solve these particular kind of mixture problems. Also, i'm assuming that for these problems, the usual mixtures ratio method of solving does not hold. Do Correct me if i am wrong.

There are many ways to solve such problems, though, the 'usual mixtures ratio method of solving' definitely works here too. Why wouldn't it? There are two solutions and they have to be mixed to get a third solution. It doesn't matter if one of the solutions is pure water.

4 gallons of 90% glycerin has to be mixed with 0% glycerin solution (pure water) to give 75% glycerin solution. So glycerin solution:water should be in the ratio 5:1. Since glycerin solution is 4 gallons, water will be 4/5 = 0.8 gallons

Wow...I'm still reeling from my HBS admit . Thank you once again to everyone who has helped me through this process. Every year, USNews releases their rankings of...

I had an interesting conversation with a friend this morning, and I realized I need to add a last word on the series of posts on my application process. Five key words:...