GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 13 Nov 2018, 23:47

### GMAT Club Daily Prep

#### 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

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

## Events & Promotions

###### Events & Promotions in November
PrevNext
SuMoTuWeThFrSa
28293031123
45678910
11121314151617
18192021222324
2526272829301
Open Detailed Calendar
• ### Essential GMAT Time-Management Hacks

November 14, 2018

November 14, 2018

07:00 PM PST

08:00 PM PST

Join the webinar and learn time-management tactics that will guarantee you answer all questions, in all sections, on time. Save your spot today! Nov. 14th at 7 PM PST

# A movie theater sold 120 tickets to the matinee showing of a popular

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics
Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 50578
A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

23 Feb 2017, 05:40
1
5
00:00

Difficulty:

65% (hard)

Question Stats:

66% (02:33) correct 34% (02:33) wrong based on 185 sessions

### HideShow timer Statistics

A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

_________________
SC Moderator
Joined: 13 Apr 2015
Posts: 1691
Location: India
Concentration: Strategy, General Management
GMAT 1: 200 Q1 V1
GPA: 4
WE: Analyst (Retail)
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

23 Feb 2017, 05:56
1
MS = 120; ES = 150

Adult and MS = x; Adult and ES = x.
Child and MS = y; Child and ES = 2y - 20.

x + y = 120
x + 2y - 20 = 150 --> x + 2y = 170

Solving the two equations, we get x = 70; y = 50

We need the value of Child and ES = 2y - 20 = 80

CEO
Joined: 11 Sep 2015
Posts: 3113
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

23 Feb 2017, 09:10
2
Top Contributor
Bunuel wrote:
A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

The theater sold the same number of adult tickets for each show
Let A = # of adult tickets sold for MATINEE show
So, A = # of adult tickets sold for EVENING show

The evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee
In other words, if they had sold 20 extra children's tickets for the evening show, then the number of children's tickets for the evening show would have been TWICE the number of children's tickets for the matinee show
So, we can write: (# of EVENING show children's tickets) + 20 = 2(# of MATINEE show children's tickets)
Another way to write this is: (# of EVENING show children's tickets) = 2(# of MATINEE show children's tickets) - 20

Let C = # of children's tickets sold for MATINEE show
So, 2C - 20 = # of children's tickets sold for EVENING show

A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing
We can write the following:
A + C = 120
A + (2C - 20) = 150

Rewrite as:
A + 2C = 170
A + C = 120

Subtract bottom equation from top equation to get: C = 50
So, 50 children's tickets were sold for the MATINEE show.

How many children's tickets were sold to the evening show?
We already know that 2C - 20 = # of children's tickets sold for EVENING show
Since C = 50, we can replace C with 50 to get: 2(50) - 20 = # of children's tickets sold for EVENING show
Evaluate: 80 = # of children's tickets sold for EVENING show

RELATED VIDEO FROM OUR COURSE

_________________

Brent Hanneson – GMATPrepNow.com

Target Test Prep Representative
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2830
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

27 Feb 2017, 10:47
1
1
Bunuel wrote:
A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

We can let the number of adult tickets sold for each show = x, the number of children’s tickets sold to the matinee = y, and the number of children's tickets sold to the evening show = z.

Since 120 matinee tickets were sold:

x + y = 120

x = 120 - y

Since 150 evening tickets were sold:

x + z = 150

x = 150 - z

Since the evening show was just 20 children's tickets short of selling twice as many children's tickets as were sold for the matinee:

z + 20 = 2y

Since x = 120 - y and x = 150 - z, we have:

120 - y = 150 - z

z = 30 + y

Next, we can substitute 30 + y for z in the equation z + 20 = 2y and we have:

30 + y + 20 = 2y

50 = y

Thus, z = 30 + 50 = 80.

_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Manager
Joined: 03 Jan 2017
Posts: 156
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

24 Mar 2017, 10:28
we can solve the question with equation. But first what is the unswer? it's the number of children tickets sold for the evening show: 2y-20
So here are the equations:
x+y=120
x+2y-20=150
y=50
2*50-20=80 tickets were sold for the evening show for children
Senior SC Moderator
Joined: 22 May 2016
Posts: 2092
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

04 Apr 2017, 16:28
Bunuel wrote:
A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

Solve for one variable only because second variable is same number in both scenarios.

C = # of children's tickets

120 - C = 150 - (2C - 20)
120 - C = 150 - 2C + 20

C = 50

Evening: 2C - 20 = 80
Math Expert
Joined: 02 Aug 2009
Posts: 7025
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

14 Apr 2017, 07:32
ziyuen wrote:
A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

I have difficulty to answer this question. Does someone could help to interpret the sentence in blue font?

Hi,

At a straight look, children tickets in matinée show is 30+20=50..
And evening becomes 2*50-20=80..

Now how n why?
Difference in tickets is 150-120=30 and this difference is ONLY in children tickets.
If in morning it is C, in evening it is C+30..
2C-20=C+30....C=50
Evening=2*50-20=80
D
_________________

1) Absolute modulus : http://gmatclub.com/forum/absolute-modulus-a-better-understanding-210849.html#p1622372
2)Combination of similar and dissimilar things : http://gmatclub.com/forum/topic215915.html
3) effects of arithmetic operations : https://gmatclub.com/forum/effects-of-arithmetic-operations-on-fractions-269413.html

GMAT online Tutor

Retired Moderator
Joined: 19 Mar 2014
Posts: 945
Location: India
Concentration: Finance, Entrepreneurship
GPA: 3.5
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

08 Jul 2017, 23:33
Bunuel wrote:
A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

Let the number of children for matinee be $$- C$$

Let the number of Adults be $$= A$$ (No. of adults remain same for both the shows)

Matinee Show $$- C + A = 120$$ ===> 1

For number of children in the evening show we ca write: $$2C - 20$$

Evening Show $$- A + 2C - 20 = 150$$

$$2C + A = 170$$ ===> 2

Solving (1) and (2)

$$C = 50$$

No. of children in matinee show = 50

No. if children in evening show $$= 2C - 20 = 2 * 50 - 20 = 100 - 20 = 80$$

Hence, Answer is D
_________________

"Nothing in this world can take the place of persistence. Talent will not: nothing is more common than unsuccessful men with talent. Genius will not; unrewarded genius is almost a proverb. Education will not: the world is full of educated derelicts. Persistence and determination alone are omnipotent."

Best AWA Template: https://gmatclub.com/forum/how-to-get-6-0-awa-my-guide-64327.html#p470475

Director
Joined: 13 Mar 2017
Posts: 626
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE: Engineering (Energy and Utilities)
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

12 Jul 2017, 05:36
hazelnut wrote:
A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

I have difficulty to answer this question. Does someone could help to interpret the sentence in blue font?

Let A be the number of adult ticket sold in each show (The no. of adult ticket sold in each show is same )
Let C be the number of children's ticket sold in matinee show.

So A + C = 120 ..............................(i)
Also considering evening show A+2C-20 = 150
A+ 2C = 170 ...................................(ii)

So from (i) and (ii)
C = 50
So, no. of children's ticket sold in evening show = 2C-20 = 2*50 -20 = 80

_________________

CAT 2017 99th percentiler : VA 97.27 | DI-LR 96.84 | QA 98.04 | OA 98.95
UPSC Aspirants : Get my app UPSC Important News Reader from Play store.

MBA Social Network : WebMaggu

Appreciate by Clicking +1 Kudos ( Lets be more generous friends.)

What I believe is : "Nothing is Impossible, Even Impossible says I'm Possible" : "Stay Hungry, Stay Foolish".

Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 4171
Location: United States (CA)
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

16 Jul 2017, 16:16
hazelnut wrote:
A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

We can let a = the number of adult tickets sold for each show, x = the number of children’s tickets sold for the evening show, and y = the number of tickets sold for the matinee.

The number of children’s tickets for the evening show was just 20 tickets short of selling twice as many children's tickets as were sold for the matinee, which we can express as:

x = 2y - 20

We also have that:

a + x = 150

Substituting (2y - 20) for x, we have:

a + 2y - 20 = 150

a + 2y = 170

We also have the following equation for the matinee ticket sales:

a + y = 120

Subtracting a + y = 120 from a + 2y = 170, we have:

y = 50

So x = 2(50) - 20 = 80 children’s tickets were sold for the evening show.

_________________

Scott Woodbury-Stewart
Founder and CEO

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Study Buddy Forum Moderator
Joined: 04 Sep 2016
Posts: 1247
Location: India
WE: Engineering (Other)
Re: A movie theater sold 120 tickets to the matinee showing of a popular  [#permalink]

### Show Tags

05 Dec 2017, 18:35
JeffTargetTestPrep niks18

A movie theater sold 120 tickets to the matinee showing of a popular children's movie, and 150 tickets to the evening showing. The theater sold the same number of adult tickets for each show, but for the evening show was just 20 children's tickets short of selling twice as many children's tickets as it did for the matinee. How many children's tickets were sold to the evening show?

A. 50
B. 60
C. 70
D. 80
E. 90

Quote:
Since the evening show was just 20 children's tickets short of selling twice as many children's tickets as were sold for the matinee:

z + 20 = 2y

Do we not have to account for adult tickets here?
As per me equation should be 150 = x + (2y-20) since we substitute for z ie no children in evening show.
_________________

It's the journey that brings us happiness not the destination.

Re: A movie theater sold 120 tickets to the matinee showing of a popular &nbs [#permalink] 05 Dec 2017, 18:35
Display posts from previous: Sort by

# A movie theater sold 120 tickets to the matinee showing of a popular

 new topic post reply Question banks Downloads My Bookmarks Reviews Important topics

 Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.