Difference between revisions of "2012 AMC 12B Problems/Problem 1"

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{{duplicate|[[2012 AMC 12B Problems|2012 AMC 12B #1]] and [[2012 AMC 10B Problems|2012 AMC 10B #1]]}}
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== Problem ==
 
== Problem ==
 
   
 
   
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== Solution ==
 
== Solution ==
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=== Solution 1 ===
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Multiplying 18 and 2 by 4 we get 72 and 8 students and rabbits respectively. Subtracting 8 from 72 we get  
 
Multiplying 18 and 2 by 4 we get 72 and 8 students and rabbits respectively. Subtracting 8 from 72 we get  
 
<math>\boxed{\textbf{(C)}\ 64}</math>
 
<math>\boxed{\textbf{(C)}\ 64}</math>
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=== Solution 2 ===
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In each class, there are <math>18-2=16</math> more students than rabbits. So for all classrooms, the difference between students and rabbits is <math>16 \times 4 = \boxed{\textbf{(C)}\ 64}</math>

Revision as of 15:39, 23 August 2012

The following problem is from both the 2012 AMC 12B #1 and 2012 AMC 10B #1, so both problems redirect to this page.

Problem

Each third-grade classroom at Pearl Creek Elementary has 18 students and 2 pet rabbits. How many more students than rabbits are there in all 4 of the third-grade classrooms?

$\textbf{(A)}\ 48\qquad\textbf{(B)}\ 56\qquad\textbf{(C)}\ 64\qquad\textbf{(D)}\ 72\qquad\textbf{(E)}\ 80$

Solution

Solution 1

Multiplying 18 and 2 by 4 we get 72 and 8 students and rabbits respectively. Subtracting 8 from 72 we get $\boxed{\textbf{(C)}\ 64}$

Solution 2

In each class, there are $18-2=16$ more students than rabbits. So for all classrooms, the difference between students and rabbits is $16 \times 4 = \boxed{\textbf{(C)}\ 64}$