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2007 AMC 8 Problems/Problem 5

Revision as of 15:02, 15 February 2010 by Aplus95 (talk | contribs) (Created page with '== Problem == Chandler wants to buy a <math>\</math><math>500</math> mountain bike. For his birthday, his grandparents send him <math>\</math><math>50</math>, his aunt sends him…')
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Problem

Chandler wants to buy a $$$500$ mountain bike. For his birthday, his grandparents send him $$$50$, his aunt sends him $$$35$ and his cousin gives him $$$15$. He earns $$$16$ 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 $\boxed{B}$

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