2007 AMC 8 Problems/Problem 5

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 $\boxed{\textbf{(B)}\ 25}$

2007 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 4	Followed by Problem 6
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All AJHSME/AMC 8 Problems and Solutions

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2007 AMC 8 Problems/Problem 5

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