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22 Oct 2019, 08:48
00:00

Difficulty:

15% (low)

Question Stats:

97% (01:33) correct 3% (01:31) wrong based on 33 sessions

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For a certain play performance, adults' tickets were sold for $12 each and children's tickets were sold for$8 each. How many children's tickets were sold for the performance?

(1) The total revenue from the sale of adults’ and children’s tickets for the performance was $5,040. (2) The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance. _________________ GMAT Club Legend Joined: 18 Aug 2017 Posts: 5256 Location: India Concentration: Sustainability, Marketing GPA: 4 WE: Marketing (Energy and Utilities) Re: For a certain play performance, adults' tickets were sold for$12 each  [#permalink]

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22 Oct 2019, 09:09
Bunuel wrote:
For a certain play performance, adults' tickets were sold for $12 each and children's tickets were sold for$8 each. How many children's tickets were sold for the performance?

(1) The total revenue from the sale of adults’ and children’s tickets for the performance was $5,040. (2) The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance. given 12x+8y #1 The total revenue from the sale of adults’ and children’s tickets for the performance was$5,040.
12x+8y=5040
3x+2y=1260
x&y unknown
insufficent
#2

The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance.
x=1/3(x+y)
2x=y
again insufficient
from 1&2
7x=1260
x=180
y=360
sufficient
IMO C
Senior Manager
Joined: 07 Mar 2019
Posts: 372
Location: India
GMAT 1: 580 Q43 V27
WE: Sales (Energy and Utilities)
Re: For a certain play performance, adults' tickets were sold for $12 each [#permalink] ### Show Tags 22 Oct 2019, 11:29 For a certain play performance, adults' tickets were sold for$12 each and children's tickets were sold for $8 each. How many children's tickets were sold for the performance? Let Number of adults tickets = A Number of children tickets = C (1) The total revenue from the sale of adults’ and children’s tickets for the performance was$5,040.

12A + 8C = 5040 and for A = 2, C = 627 and so on...
Since LCM (12,8) = 24, there are 209 combinations possible between number of tickets of adults and children. Hence

INSUFFICIENT.

(2) The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance.
$$A = \frac{1}{3}(A + C)$$
2A = C

Since nothing about total amount of tickets price is given, many possibilities exist. Hence

INSUFFICIENT.

Together 1 and 2
6C + 8C = 5040
C = 360 and A = 180

SUFFICIENT.

_________________
Ephemeral Epiphany..!

GMATPREP1 590(Q48,V23) March 6, 2019
GMATPREP2 610(Q44,V29) June 10, 2019
GMATPREPSoft1 680(Q48,V35) June 26, 2019
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Posts: 35
Re: For a certain play performance, adults' tickets were sold for $12 each [#permalink] ### Show Tags 23 Oct 2019, 03:14 lnm87 wrote: For a certain play performance, adults' tickets were sold for$12 each and children's tickets were sold for $8 each. How many children's tickets were sold for the performance? Let Number of adults tickets = A Number of children tickets = C (1) The total revenue from the sale of adults’ and children’s tickets for the performance was$5,040.

12A + 8C = 5040 and for A = 2, C = 627 and so on...
Since LCM (12,8) = 24, there are 209 combinations possible between number of tickets of adults and children. Hence

INSUFFICIENT.

(2) The number of adults’ tickets sold for the performance was 1/3 the total number of adults’ and children’s tickets sold for the performance.
$$A = \frac{1}{3}(A + C)$$
2A = C

Since nothing about total amount of tickets price is given, many possibilities exist. Hence

INSUFFICIENT.

Together 1 and 2
6C + 8C = 5040
C = 360 and A = 180

SUFFICIENT.

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Re: For a certain play performance, adults' tickets were sold for $12 each [#permalink] 23 Oct 2019, 03:14 Display posts from previous: Sort by # For a certain play performance, adults' tickets were sold for$12 each

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