Difference between revisions of "1999 AHSME Problems/Problem 11"

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The student locker numbers at Olympic High are numbered consecutively beginning with locker number <math> 1</math>. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number <math> 9</math> and four centers to label locker number <math> 10</math>. If it costs <math> \</math>137.94<math> to label all the lockers, how many lockers are there at the school?
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The student locker numbers at Olympic High are numbered consecutively beginning with locker number <math> 1</math>. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number <math> 9</math> and four centers to label locker number <math> 10</math>. If it costs 137.94 to label all the lockers, how many lockers are there at the school?
  
</math> \textbf{(A)}\ 2001 \qquad  
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<math> \textbf{(A)}\ 2001 \qquad  
 
\textbf{(B)}\ 2010 \qquad  
 
\textbf{(B)}\ 2010 \qquad  
 
\textbf{(C)}\ 2100 \qquad  
 
\textbf{(C)}\ 2100 \qquad  
 
\textbf{(D)}\ 2726 \qquad  
 
\textbf{(D)}\ 2726 \qquad  
\textbf{(E)}\ 6897$
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\textbf{(E)}\ 6897</math>

Revision as of 19:58, 2 June 2011

The student locker numbers at Olympic High are numbered consecutively beginning with locker number $1$. The plastic digits used to number the lockers cost two cents apiece. Thus, it costs two cents to label locker number $9$ and four centers to label locker number $10$. If it costs 137.94 to label all the lockers, how many lockers are there at the school?

$\textbf{(A)}\ 2001 \qquad  \textbf{(B)}\ 2010 \qquad  \textbf{(C)}\ 2100 \qquad  \textbf{(D)}\ 2726 \qquad  \textbf{(E)}\ 6897$