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2007 AMC 8 Problems/Problem 5: Difference between revisions

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== Problem ==
== Problem ==


Chandler wants to buy a <math>\</math><math>500</math> mountain bike. For his birthday, his grandparents
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?
Line 24: Line 24:


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

These problems are copyrighted © by the Mathematical Association of America.

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