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

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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?
 
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 \qquad (\mathrm {B}) 330 \qquad (\mathrm {C}) 363 \qquad (\mathrm {D}) 396 \qquad (\mathrm {E}) 726</math>
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<math>\mathrm {(A)} 297 \qquad \mathrm {(B)} 330 \qquad \mathrm {(C)} 363 \qquad \mathrm {(D)} 396 \qquad \mathrm {(E)} 726</math>
  
 
==Solution==
 
==Solution==

Revision as of 12:33, 29 September 2007

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
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25
All AMC 12 Problems and Solutions