Difference between revisions of "2004 AMC 12B Problems/Problem 1"

Revision as of 11:28, 29 September 2007

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?

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

There are $22-12+1=11$ rows reserved for the youth club. At $33$ seats per row, there are $33\cdot 11$ seats reserved.

$33\cdot 11=363\Longrightarrow (\mathrm{C})$

2004 AMC 12A (Problems • Answer Key • Resources)
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All AMC 12 Problems and Solutions

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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?
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 ==Solution==
 There are <math>22-12+1=11</math> rows reserved for the youth club. At <math>33</math> seats per row, there are <math>33\cdot 11</math> seats reserved.