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# A certain theater has 100 balcony seats. For every \$2

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Eternal Intern
Joined: 07 Jun 2003
Posts: 464

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Location: Lone Star State
A certain theater has 100 balcony seats. For every \$2  [#permalink]

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26 Jul 2003, 09:33
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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?

Kudos [?]: 166 [0], given: 0

SVP
Joined: 03 Feb 2003
Posts: 1603

Kudos [?]: 304 [0], given: 0

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26 Jul 2003, 12:40
(10+2n)(100-5n)=1360

n=3 or 12, so the price can be \$16 or \$34

Kudos [?]: 304 [0], given: 0

Eternal Intern
Joined: 07 Jun 2003
Posts: 464

Kudos [?]: 166 [0], given: 0

Location: Lone Star State

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26 Jul 2003, 15:37
The trick is you can view the \$2 increase and five seat decrease as the same, instead of representing them as two seperate variables.

Kudos [?]: 166 [0], given: 0

26 Jul 2003, 15:37
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