2004 AMC 12B Problems/Problem 1

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?

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

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 12B (Problems • Answer Key • Resources)
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