2004 AMC 12B Problems/Problem 1

Revision as of 12:24, 29 September 2007 by 1=2 (talk | contribs) (New page: ==Problem== Each row of the Misty Moon Amphitheater has 33 seats. Rows 12 through 22 are reserved for a youth club. How many seats are reserved for this club? <math>(\mathrm {A}) 297</m...)
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Problem

Each row of the Misty Moon Amphitheater has 33 seats. Rows 12 through 22 are reserved for a youth club. How many seats are reserved for this club?

$(\mathrm {A}) 297$ $(\mathrm {B}) 330$ $(\mathrm {C}) 363$ $(\mathrm {D}) 396$ $(\mathrm {E}) 726$

Solution

There are 22-12+1=11 rows reserved for the youth club, and at 33 seats per row, there are 33*11 seats reserved.

33*11=363