Difference between revisions of "2007 AMC 8 Problems/Problem 5"

(Problem)
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== Problem ==
 
== Problem ==
  
Chandler wants to buy a <math>&#036;500</math> mountain bike. For his birthday, his grandparents
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Chandler wants to buy a <math>&#500</math> dollar mountain bike. For his birthday, his grandparents
send him <math>&#036;50</math>, his aunt sends him <math>&#036;35</math> and his cousin gives him <math>&#036;15</math>. He earns
+
send him <math>&#50</math> dollars, his aunt sends him <math>&#35</math> dollars and his cousin gives him <math>&#15</math> dollars. He earns
<math>&#036;16</math> per week for his paper route. He will use all of his birthday money and all
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<math>&#16</math> dollars per week for his paper route. He will use all of his birthday money and all
 
of the money he earns from his paper route. In how many weeks will he be able
 
of the money he earns from his paper route. In how many weeks will he be able
 
to buy the mountain bike?
 
to buy the mountain bike?

Revision as of 14:10, 31 January 2015

Problem

Chandler wants to buy a $&#500$ (Error compiling LaTeX. Unknown error_msg) dollar mountain bike. For his birthday, his grandparents send him $&#50$ dollars, his aunt sends him $&#35$ (Error compiling LaTeX. Unknown error_msg) dollars and his cousin gives him $&#15$ (Error compiling LaTeX. Unknown error_msg) dollars. He earns $&#16$ (Error compiling LaTeX. Unknown error_msg) dollars per week for his paper route. He will use all of his birthday money and all of the money he earns from his paper route. In how many weeks will he be able to buy the mountain bike?

$\mathrm{(A)}\ 24 \qquad\mathrm{(B)}\ 25 \qquad\mathrm{(C)}\ 26 \qquad\mathrm{(D)}\ 27 \qquad\mathrm{(E)}\ 28$

Solution

Let $x$ be the number of weeks.

Thus, we have the equation $50 + 35 + 15 + 16x = 500$.

Simplify,

$100 + 16x = 500$

$16x = 400$

$x = 25$

The answer is $\boxed{\textbf{(B)}\ 25}$

See Also

2007 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 4
Followed by
Problem 6
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 AJHSME/AMC 8 Problems and Solutions

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