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 museum sold 30 tickets on Saturday. Some of the tickets [#permalink]

Show Tags

11 Jun 2012, 08:14

2

This post received KUDOS

3

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

65% (hard)

Question Stats:

62% (03:07) correct
38% (02:06) wrong based on 156 sessions

HideShow timer Statistics

A museum sold 30 tickets on Saturday. Some of the tickets sold were $10 general exhibit tickets and the rest were $70 special exhibit tickets. How many general exhibit tickets did the museum sell on Saturday?

(1) The museum’s total revenue from ticket sales on Saturday was greater than $1,570 and less than $1670. (2) The museum sold more than 20, but fewer than 25, special exhibit ticket on Saturday.

[Searched, but unable to find the old post if there is any]

Re: A museum sold 30 tickets on Saturday [#permalink]

Show Tags

11 Jun 2012, 08:37

Hi,

let there be x tickets sold at $10, so, the tickets sold at $70 would be (30-x). and total revenue would be: $10(x)+$70(30-x)

Using (1) 1570 < 10(x)+70(30-x) < 1670 or 1570 < 10x + 2100 - 70x < 1670 or 1570-2100 < -60x < 1670-2100 or -530 < -60x < -430 (multiply by -1) or 430 < 60x < 530 or 7.16 < x < 8.33, since x is integer and only one value exist between 7.1 & 8.3, i.e., 8 thus, x=8. Sufficient.

Using (2), 20 < special exhibit ticket < 25 or 20 < 30-x < 25 or -10 < -x < 5 or 5 < x <10, thus, x = 6, 7, 8, 9 Clearly, not sufficient.

A museum sold 30 tickets on Saturday. Some of the tickets sold were $10 general exhibit tickets and the rest were $70 special exhibit tickets. How many general exhibit tickets did the museum sell on Saturday?

Say the museum sold \(G\) general exhibit tickets and \(30-G\) special exhibit tickets, then the museum's total revenue wold be \(10G+70(30-G)=2100-60G\).

(1) The museum’s total revenue from ticket sales on Saturday was greater than $1,570 and less than $1670 --> \(1570<2100-60G<1670\) --> \(-530<-60G<-430\) --> reduce by -10 and flip the sign: \(43<6G<53\) --> since \(G\) must be an integer then \(G=8\). Sufficient.

(2) The museum sold more than 20, but fewer than 25, special exhibit ticket on Saturday --> \(20<S<25\) --> \(S\) could be be 21, 22, 23 or 24, so \(G\) could be 9, 8, 7, or 6 respectively. Not sufficient.

Re: A museum sold 30 tickets on Saturday. Some of the tickets [#permalink]

Show Tags

12 Jun 2015, 03:39

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.
_________________

Military MBA Acceptance Rate Analysis Transitioning from the military to MBA is a fairly popular path to follow. A little over 4% of MBA applications come from military veterans...

Best Schools for Young MBA Applicants Deciding when to start applying to business school can be a challenge. Salary increases dramatically after an MBA, but schools tend to prefer...

Marty Cagan is founding partner of the Silicon Valley Product Group, a consulting firm that helps companies with their product strategy. Prior to that he held product roles at...