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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
A certain theater has 100 balcony seats. For every $2 increase in the
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05 Nov 2021, 07:42
05 Nov 2021, 07:42
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Question Stats:
60% (02:36) correct
40% (02:42) wrong based on 15 sessions
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A certain theater has 100 balcony seats. For every $2 increase in the price of a balcony seat above $10, 5 fewer seats will be sold. If all the balcony seats are sold when the price of each seat is $10, which of the following could be the price of a balcony seat if the revenue from the sale of balcony seats is $1,360 ?
A. $12
B. $14
C. $16
D. $17
E. $18
A. $12
B. $14
C. $16
D. $17
E. $18
Re: A certain theater has 100 balcony seats. For every $2 increase in the
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08 Nov 2021, 14:07
08 Nov 2021, 14:07
Expert Reply
Equation should be (10+$2*x)(100-5x)=1,360, where x is the # of times we increased the price by $2. (10+$2*x)(100-5x)=1,360 --> (5+x)(20-x)=136 --> x=3 or x=12 --> price=10+$2*3=$16 or price=10+$2*12=$34.
Answer: C.
But the easiest way to solve this problem would be to write down a chart:
$10*100=$1,000;
$12*95=$1,140;
$14*90=$1,260;
$16*85=$1,360.
Or do the other way around and plug the answer choices.
Answer: C.
Answer: C.
But the easiest way to solve this problem would be to write down a chart:
$10*100=$1,000;
$12*95=$1,140;
$14*90=$1,260;
$16*85=$1,360.
Or do the other way around and plug the answer choices.
Answer: C.
Re: A certain theater has 100 balcony seats. For every $2 increase in the
[#permalink]
30 Oct 2023, 14:42
30 Oct 2023, 14:42
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