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

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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
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Let <math>x</math> be the number of weeks.
  
Simplify,100 + 16x = 500  
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Thus, we have the equation <math>50 + 35 + 15 + 16x = 500</math>.
  
16x = 400$
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Simplify,
  
x = 25
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<math>100 + 16x = 500</math>
  
The answer is B:25
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<math>16x = 400</math>
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<math>x = 25</math>
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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

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