GRE Prep 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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
A theater with 600 seats sells tickets at $1.20, $1.80, or $
[#permalink]
22 Jun 2020, 09:36
22 Jun 2020, 09:36
1
Expert Reply
2
Bookmarks
00:00
Question Stats:
72% (02:31) correct
27% (02:53) wrong based on 48 sessions
Hide Show timer Statistics
A theater with 600 seats sells tickets at $1.20, $1.80, or $2.40 per seat. On Wednesday evening, 1/3 of the tickets sold were at $1.80 per seat and the total receipts from the sale of 600 tickets was $1,020. How many of the tickets sold were at $2.40 per seat?
A. 150
B. 160
C. 200
D. 250
E. 300
A. 150
B. 160
C. 200
D. 250
E. 300
Re: A theater with 600 seats sells tickets at $1.20, $1.80, or $
[#permalink]
22 Jun 2020, 09:36
22 Jun 2020, 09:36
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: A theater with 600 seats sells tickets at $1.20, $1.80, or $
[#permalink]
22 Jun 2020, 09:57
22 Jun 2020, 09:57
1
Carcass wrote:
A theater with 600 seats sells tickets at $1.20, $1.80, or $2.40 per seat. On Wednesday evening, 1/3 of the tickets sold were at $1.80 per seat and the total receipts from the sale of 600 tickets was $1,020. How many of the tickets sold were at $2.40 per seat?
A. 150
B. 160
C. 200
D. 250
E. 300
A. 150
B. 160
C. 200
D. 250
E. 300
Given: 600 tickets were sold
One third of those tickets were at $1.80 per seat
1/3 of 600 = 200
So, 200 tickets sold for $1.80 per seat
And the remaining 400 tickets were sold for either $1.20 each of $2.40 each
Let x = the NUMBER of tickets sold for $2.40
So, 400 - x = the NUMBER of tickets sold for $1.20
The total receipts from the sale of 600 tickets was $1,020
In other words: (receipts from the $1.20 tickets) + (receipts from the $1.80 tickets) + (receipts from the $2.40 tickets) = $1,020
(200)($1.80) = $360
So, $360 = the total receipts from the $1.80 tickets
Likewise, (400 - x)($1.20) = the total receipts from the $1.20 tickets
And (x)($2.40) = the total receipts from the $2.40 tickets
Substitute values into our "word equation" to get: (400 - x)($1.20) + $360 + (x)($2.40) = $1020
Expand to get: 480 - 1.20x + 360 + 2.40x = 1020
Simplify to get: 840 + 1.20x = 1020
Subtract 840 from both sides: 1.20x = 180
Solve: x = 180/1.20 = 150
Answer: A
Cheers,
Brent
