Art of Problem Solving
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2007 AMC 8 Problems/Problem 5: Difference between revisions

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== Solution ==
== Solution ==


first let´s let x be the number of weeks. so we have the equation 50 + 35 + 15 + 16x = 500
Let <math>x</math> be the number of weeks.


Simplify,100 + 16x = 500  
Thus, we have the equation <math>50 + 35 + 15 + 16x = 500</math>.


16x = 400$
Simplify,


x = 25
<math>100 + 16x = 500</math>


The answer is B:25
<math>16x = 400</math>
 
<math>x = 25</math>
 
The answer is <math> \boxed{\textbf{(B)}\ 25} </math>


==See Also==
==See Also==
{{AMC8 box|year=2007|num-b=4|num-a=6}}
{{AMC8 box|year=2007|num-b=4|num-a=6}}
{{MAA Notice}}
{{MAA Notice}}

Revision as of 11:22, 16 August 2021

Problem

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

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: Unable to save thumbnail to destination