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# A certain theater has 100 balcony seats. For every $2  Question banks Downloads My Bookmarks Reviews Important topics Author Message TAGS: Eternal Intern Joined: 07 Jun 2003 Posts: 470 Location: Lone Star State Followers: 1 Kudos [?]: 44 [0], given: 0 A certain theater has 100 balcony seats. For every$2  [#permalink]  26 Jul 2003, 08:33
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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?
SVP
Joined: 03 Feb 2003
Posts: 1608
Followers: 6

Kudos [?]: 76 [0], given: 0

(10+2n)(100-5n)=1360

n=3 or 12, so the price can be $16 or$34
Eternal Intern
Joined: 07 Jun 2003
Posts: 470
Location: Lone Star State
Followers: 1

Kudos [?]: 44 [0], given: 0

The trick is you can view the $2 increase and five seat decrease as the same, instead of representing them as two seperate variables. [#permalink] 26 Jul 2003, 14:37 Similar topics Replies Last post Similar Topics: 3 A certain theater has a total of 884 seats, of which 500 are 5 27 Feb 2013, 03:48 10 A certain theater has 100 balcony seats. For every$2 13 28 Apr 2012, 20:39
A certain theater has 100 balcony seats. For every $2 4 31 Mar 2008, 18:50 A certain theater has 100 balcony seats. For every$2 2 29 Dec 2007, 12:39