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# A downtown theater sells each of its floor seats for a certain price a

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Manager
Joined: 13 Oct 2016
Posts: 242
GMAT 1: 600 Q44 V28
A downtown theater sells each of its floor seats for a certain price a  [#permalink]

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28 May 2017, 11:23
00:00

Difficulty:

35% (medium)

Question Stats:

68% (01:22) correct 32% (01:22) wrong based on 70 sessions

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A downtown theater sells each of its floor seats for a certain price and each of its balcony seats for a certain price. If Matthew, Linda, and Jake each buy tickets for this theater, how much did Jake pay for one floor seat and one balcony seat?

(1) Matthew bought four floor seats and three balcony seats for \$82.50.
(2) Linda bought eight floor seats and six balcony seats for \$165.00.

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A downtown theater sells each of its floor seats for a certain price a  [#permalink]

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28 May 2017, 16:03
(1) Matthew bought four floor seats and three balcony seats for \$82.50.
Let the cost of a floor seat be x and a balcony seat be y.
4x + 3y = 82.50
Using this equation we cannot clearly tell the value 1 floor seat
and 1 balcony seat which Jake must pay for. Hence, insufficient.

(2) Linda bought eight floor seats and six balcony seats for \$165.00.
Let the cost of a floor seat be x and a balcony seat be y.
8x + 6y = 165
Using this equation we cannot clearly tell the value 1 floor seat
and 1 balcony seat which Jake must pay for. Hence, insufficient

On combining the statements, we have 2 equations and 2 unknowns.
However it is not possible to get a unique value because the equations are
dependent on each other
. Hence, insufficient(Option E)
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A downtown theater sells each of its floor seats for a certain price a   [#permalink] 28 May 2017, 16:03
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