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

(Solution)
(Solution)
Line 23: Line 23:
 
<math>x = 25</math>
 
<math>x = 25</math>
  
The answer is <math>\boxed{B}</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}}

Revision as of 12:11, 9 December 2012

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

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