Difference between revisions of "1994 AIME Problems/Problem 11"

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== Problem ==
 
== Problem ==
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Ninety-four bricks, each measuring <math>4''\times10''\times19'',</math> are to stacked one on top of another to form a tower 94 bricks tall.  Each brick can be oriented so it contribues <math>4''\,</math> or <math>10''\,</math> or <math>19''\,</math> to the total height of the tower.  How many differnt tower heights can be achieved using all 94 of the bricks?
  
 
== Solution ==
 
== Solution ==
 
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{{solution}}
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== See also ==
 
== See also ==
* [[1994 AIME Problems/Problem 10 | Previous problem]]
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{{AIME box|year=1994|num-b=10|num-a=12}}
* [[1994 AIME Problems/Problem 12 | Next problem]]
 
* [[1994 AIME Problems]]
 

Revision as of 22:40, 28 March 2007

Problem

Ninety-four bricks, each measuring $4''\times10''\times19'',$ are to stacked one on top of another to form a tower 94 bricks tall. Each brick can be oriented so it contribues $4''\,$ or $10''\,$ or $19''\,$ to the total height of the tower. How many differnt tower heights can be achieved using all 94 of the bricks?

Solution

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See also

1994 AIME (ProblemsAnswer KeyResources)
Preceded by
Problem 10
Followed by
Problem 12
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
All AIME Problems and Solutions