2004 AMC 12B Problems/Problem 1

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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?

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

Solution

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


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

See Also

2004 AMC 12B (ProblemsAnswer KeyResources)
Preceded by
First Question
Followed by
Problem 2
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All AMC 12 Problems and Solutions