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 500,000 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:

A certain scholarship committee awarded scholarships in the [#permalink]

Show Tags

24 Apr 2010, 15:07

1

This post received KUDOS

9

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

15% (low)

Question Stats:

77% (01:46) correct 23% (01:49) wrong based on 413 sessions

HideShow timer Statistics

A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

Re: How many scholarships were awarded? [#permalink]

Show Tags

25 Apr 2010, 00:17

1

This post received KUDOS

zz0vlb wrote:

A certain scholarship committee awarded scholarships in the amounts of $1250,$2500 and $4000. The Committe awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

This is a ratio question. So first find out the ratio of all three scholarships awarded

$1250 : $2500 : $4000 = 6:2:1 How - let x be the number of scholarships of $4000, then number of scholarship of $2500 will be 2x (twice than the other). then $1250 scholarships will be 6x (thrice of $2500 scholarship) Ratio 6x:2x:x = 6:2:1

Now $37500 is the total amount of $1250 scholarship. Hence, total 30 If $1250 scholarship are 30 then $4000 scholarship are 5 (divide 30 by 6)

Re: How many scholarships were awarded? [#permalink]

Show Tags

09 Nov 2012, 12:13

1

This post received KUDOS

Here is my approach Let X, Y and Z be numbers of awards for $1250, $2500 and $4000 . (X = 3Y; Y = 2Z ==> X:Y:Z = 1:1/3:1/6 We know from the stem that X = 30 ($37500/$1250). Thus Y = 10 (30/3) and Z = 5 (30/6) Brother Karamazov

A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

A. 5 B. 6 C. 9 D. 10 E. 15

Say the number of $4,000 scholarships awarded was x, then the number of $2,500 scholarships awarded would be 2x and the number of $1,250 scholarships awarded would be 6x.

Re: A certain scholarship committee awarded scholarships in the [#permalink]

Show Tags

19 Jan 2014, 00:38

aiha85 wrote:

My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me "twice as many $2500 scholarships as $4000" "three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL

Yes, I'm also confused with the phrases (twice as many XXX as XXX). Remember we have a very similar question, that is, (see below)

"At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?" The correct answer is 3:2 (rather than 2:3).

The expression is the same in these TWO questions, but why not the same understanding?

My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me "twice as many $2500 scholarships as $4000" "three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL

Yes, I'm also confused with the phrases (twice as many XXX as XXX). Remember we have a very similar question, that is, (see below)

"At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?" The correct answer is 3:2 (rather than 2:3).

The expression is the same in these TWO questions, but why not the same understanding?

Who can help? Thank you.

Translation is the same for both questions.

Twice as many $2500 scholarships as $4000 means that if the number of $4000 scholarships was x, then the number of $2500 scholarships was 2x.

Three times as many $1250 scholarships as $2500 scholarships means that if the number of $2500 scholarships was 2x, then the number of $1250 scholarships was 3*(2x)=6x.

As for another question: At a certain college there are twice as many english majors as history majors and three times as many english majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?

At a certain college there are twice as many english majors as history majors: E = 2H (as there are MORE english majors)

and three times as many english majors as mathematics majors: E = 3M (as there are MORE english majors)

What is the ratio of the number of history majors to the number of mathematics majors? What is \(\frac{H}{M}\)?

Re: A certain scholarship committee awarded scholarships in the [#permalink]

Show Tags

20 Jan 2014, 03:54

Bunuel wrote:

smallapple wrote:

aiha85 wrote:

My answer was 180 because I switch numbers in the question then when I did not find 180 I said ok do the opposite, then I got the right answer.

these kind of phrases are killing me "twice as many $2500 scholarships as $4000" "three times as many $1250 scholarships as $2500"

which is which .. Can anyone give me the right way of figuring these kind of phrases out very quickly? LOOL

Yes, I'm also confused with the phrases (twice as many XXX as XXX). Remember we have a very similar question, that is, (see below)

"At a certain college there are twice as many English majors as history majors and three times as many English majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?" The correct answer is 3:2 (rather than 2:3).

The expression is the same in these TWO questions, but why not the same understanding?

Who can help? Thank you.

Translation is the same for both questions.

Twice as many $2500 scholarships as $4000 means that if the number of $4000 scholarships was x, then the number of $2500 scholarships was 2x.

Three times as many $1250 scholarships as $2500 scholarships means that if the number of $2500 scholarships was 2x, then the number of $1250 scholarships was 3*(2x)=6x.

As for another question: At a certain college there are twice as many english majors as history majors and three times as many english majors as mathematics majors. What is the ratio of the number of history majors to the number of mathematics majors?

At a certain college there are twice as many english majors as history majors: E = 2H (as there are MORE english majors)

and three times as many english majors as mathematics majors: E = 3M (as there are MORE english majors)

What is the ratio of the number of history majors to the number of mathematics majors? What is \(\frac{H}{M}\)?

Re: A certain scholarship committee awarded scholarships in the [#permalink]

Show Tags

07 Dec 2015, 23:46

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________

A certain scholarship committee awarded scholarships in the amounts of $1250, $2500 and $4000. The Committee awarded twice as many $2500 scholarships as $4000 and it awarded three times as many $1250 scholarships as $2500 scholarships. If the total of $37500 was awarded in $1250 scholarships, how many $4000 scholarships were awarded?

Since the starting point is given as the $4000 scholarship, Assume $4000 scholarships to be x By the given information, $2500 scholarships = 2x and $1250 scholarships = 6x

Gievn: Total $1250 scholarships = $37500 6x*1250 = 37500 Solve for x = 5 Option A

Re: A certain scholarship committee awarded scholarships in the [#permalink]

Show Tags

13 Sep 2017, 05:52

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________