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 movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

30 Jun 2011, 04:44

10

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

85% (hard)

Question Stats:

56% (04:15) correct
44% (03:05) wrong based on 94 sessions

HideShow timer Statistics

A movie theater regularly sells adult tickets for $12 and child tickets for $6. On a certain day, the theater discounts these regular ticket prices at different rates so that a group of 3 adults and 8 children spends a total of $6 less than what it would regularly spend. If the sum of the two discount rates is 15%, what is the discount rate on each adult movie ticket?

Re: A movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

30 Jun 2011, 05:24

vinayreguri wrote:

A movie theater regularly sells adult tickets for $12 and child tickets for $6. On a certain day, the theater discounts these regular ticket prices at different rates so that a group of 3 adults and 8 children spends a total of $6 less than what it would regularly spend. If the sum of the two discount rates is 15%, what is the discount rate on each adult movie ticket?

(A) 12% (B) 10% (C) 8% (D) 5% (E) 2%

Let the discount offered on adult tickets be x Let the discount offered on child tickets be y

sum of the two discount rates is 15% x+y=0.15 y=0.15-x ---------------------1

On a regular day, 3 adults would pay 3*12=36 But, with a discount of x, adults would have to pay 36x less Likewise, with discounts, 8 children would have to pay 8*6y=48y less

3 adults and 8 children spends a total of $6 less 36x+48y=6 Divide by 6 6x+8y=1-------------------------2

Re: A movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

01 Jul 2011, 03:32

2

This post received KUDOS

The group of 3 adults and 8 children would usually spend $84 [3(12)+8(6)=84]. With the discounts they now spend $78. To translate this into an equation we use A as the discount on adult prices and C as the discount on children prices. We now have this equation: 3(12-A)+8(6-C)=78.

The second bit of information we are told is that the sum of both discount rates is 15%. The adult discount rate is (100*A/12) and the childrens' rate is (100*C/6). So we have (100*A/12)+(100*C/6)=15.

Now we have two equations to solve for A and C: 36-3A+48-8C=78 => 3A+8C=6 (multiplying out) (A+2C)/12=0.15 => A+2C=1.8 (finding a common denominator and dividing across by 100) Solving these simultaneously, we get: 2C=0.6 => C=0.3. Therefore the children discount rate is 100*0.3/6=5%. Since we know the combined rates are 15%, the adult discount rate is 10% and the answer is B.
_________________

Re: A movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

01 Jul 2011, 04:34

Since I know the total discount value is $6. I would simply write down, 3.12.a/100 + 8.6.c/100 = 6 other equation given to us is a/100 + c/100 = 15/100

Re: A movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

05 Jul 2011, 05:21

vinayreguri wrote:

A movie theater regularly sells adult tickets for $12 and child tickets for $6. On a certain day, the theater discounts these regular ticket prices at different rates so that a group of 3 adults and 8 children spends a total of $6 less than what it would regularly spend. If the sum of the two discount rates is 15%, what is the discount rate on each adult movie ticket?

(A) 12% (B) 10% (C) 8% (D) 5% (E) 2%

B for me

3*12*x%+8*6*(15-x)%=6 by solving this we get x=10%

hope this helps
_________________

WarLocK _____________________________________________________________________________ The War is oNNNNNNNNNNNNN for 720+ see my Test exp here http://gmatclub.com/forum/my-test-experience-111610.html do not hesitate me giving kudos if you like my post.

Re: A movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

17 Jul 2015, 09:13

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 movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

21 Dec 2015, 04:26

Back solving is easier and faster for this problem.

We know that the sum should be 15% First we calculate the total without discount. Adult = 12 * 3 = 36 Children = 6*8 = 48

For back solving, in particularly this one I start on D, because its an easy number:(Normally I would choose C) D) (36*0,05) + (48*0,1) = 4,2 (too low, so the adult ticket received a bigger discount, lets try B that is also an easy number) B) (36*0,1) + (48*0,05) = 6 (Correct)

Re: A movie theater regularly sells adult tickets for $12 and child ticket [#permalink]

Show Tags

12 Mar 2017, 16:05

we can ballpark answers: lets start with B or D to estimate answers a 10% discount for children's tickets means for every ticket we receive 60 cents of savings and remaining 5% gives us +60 cents for each Adult's ticket Together 0.6*3 + 0.6*8 = $1.80 + $4.80 = $6.60 too much

let's try a 10% for Adult's ticket 3*$1.20 + 8*$0.30 = $3.60 + $2.40 = $6.00

Answer B

gmatclubot

Re: A movie theater regularly sells adult tickets for $12 and child ticket
[#permalink]
12 Mar 2017, 16:05

There’s something in Pacific North West that you cannot find anywhere else. The atmosphere and scenic nature are next to none, with mountains on one side and ocean on...

This month I got selected by Stanford GSB to be included in “Best & Brightest, Class of 2017” by Poets & Quants. Besides feeling honored for being part of...

Joe Navarro is an ex FBI agent who was a founding member of the FBI’s Behavioural Analysis Program. He was a body language expert who he used his ability to successfully...