Difference between revisions of "2007 AMC 8 Problems/Problem 5"
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== Problem == | == Problem == | ||
| − | Chandler wants to buy a <math>$</ | + | Chandler wants to buy a <math>$500</math> mountain bike. For his birthday, his grandparents |
| − | send him < | + | send him <math>$50</math>, his aunt sends him <math>$35</math> and his cousin gives him <math>$15</math>. He earns |
| − | <math>$</ | + | <math>$16</math> 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 | of the money he earns from his paper route. In how many weeks will he be able | ||
to buy the mountain bike? | to buy the mountain bike? | ||
| − | < | + | <math>\mathrm{(A)}\ 24 \qquad\mathrm{(B)}\ 25 \qquad\mathrm{(C)}\ 26 \qquad\mathrm{(D)}\ 27 \qquad\mathrm{(E)}\ 28</math> |
== Solution == | == Solution == | ||
| − | Let < | + | Let <math>x</math> be the number of weeks. |
| − | Thus, we have the equation < | + | Thus, we have the equation <math>50 + 35 + 15 + 16x = 500</math>. |
Simplify, | Simplify, | ||
| − | < | + | <math>100 + 16x = 500</math> |
| − | < | + | <math>16x = 400</math> |
| − | < | + | <math>x = 25</math> |
| − | The answer is < | + | 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 13:25, 18 November 2013
Problem
Chandler wants to buy a 
mountain bike. For his birthday, his grandparents
send him 
, his aunt sends him 
and his cousin gives him 
. He earns
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?
Solution
Let 
be the number of weeks.
Thus, we have the equation 
.
Simplify,
The answer is 
See Also
| 2007 AMC 8 (Problems • Answer Key • Resources) | ||
| 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 | ||
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions. 
