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

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== Problem ==
 
== Problem ==
  
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Chandler wants to buy a <math>\</math><math>500</math> mountain bike. For his birthday, his grandparents
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Chandler wants to buy a <math>500</math> dollar mountain bike. For his birthday, his grandparents
−
send him <math>\</math><math>50</math>, his aunt sends him <math>\</math><math>35</math> and his cousin gives him <math>\</math><math>15</math>. He earns
+
send him <math>50</math> dollars, his aunt sends him <math>35</math> dollars and his cousin gives him <math>15</math> dollars. He earns
−
<math>\</math><math>16</math> per week for his paper route. He will use all of his birthday money and all
+
<math>16</math> 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
 
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?
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The answer is <math> \boxed{\textbf{(B)}\ 25} </math>
 
The answer is <math> \boxed{\textbf{(B)}\ 25} </math>
 +
==Video Solution by SpreadTheMathLove==
 +
https://www.youtube.com/watch?v=omFpSGMWhFc
 +
 +
==Video Solution by WhyMath==
 +
https://youtu.be/5FpqxukxiQU
  
 
==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}}

Latest revision as of 16:31, 28 October 2024

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

Video Solution by SpreadTheMathLove

https://www.youtube.com/watch?v=omFpSGMWhFc

Video Solution by WhyMath

https://youtu.be/5FpqxukxiQU

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. AMC logo.png

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