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

(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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==Solution==
 
==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.
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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.
  
33*11=363
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<math>33\cdot 11=363\Longrightarrow (\mathrm{C})</math>
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==See Also==
 +
{{AMC12 box|year=2004|ab=A|before=First Question|num-a=2}}

Revision as of 12:27, 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?

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

Solution

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


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

See Also

2004 AMC 12A (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