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Difference between revisions of "2020 AMC 8 Problems/Problem 2"

(Removed solution 2 (effectively the same as solution 1), fixed LaTeX and grammar etc.)
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==Solution==
 
==Solution==
First we average <math>15,20,25,40</math> to get <math>25</math>. Thus, <math>40 - 25 = \boxed{\textbf{(C) }\$15.}</math>. ~~Spaced_Out Note if you get <math>100 once adding it up and then /4= </math>15 or \boxed{\textbf{(C) }.
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The friends earn <math>\$\left(15+20+25+40\right)=\$100</math> in total. Since they decided to split their earnings equally, it follows that each person will get <math>\$\left(\frac{100}{4}\right)=\$25</math>. Since the friend who earned <math>\$40</math> will need to leave with <math>\$25</math>, he will have to give <math>\$40-\$25=\boxed{\textbf{(C) }\$15}</math> to the others.
<math>oceanxia
 
==Solution 2==
 
The total earnings for the four friends is </math>\$15+\$20+\$25+\$40=\$100<math>. Since they decided to split their earnings equally among themselves, it follows that each person will get </math>\frac{\$100}{4}=\$25<math>. Since the friend who earned </math>\$40<math> will need to leave with </math>\$25<math>, he will have to give </math>\$40-\$25=\$15<math> to the others </math>\implies\boxed{\textbf{(C) }\$15}$.<br>
 
~[http://artofproblemsolving.com/community/user/jmansuri junaidmansuri]
 
  
 
==Video Solution==
 
==Video Solution==
 
https://youtu.be/-mSgttsOv2Y
 
https://youtu.be/-mSgttsOv2Y
 
~savannahsolver
 
  
 
==See also==  
 
==See also==  
 
{{AMC8 box|year=2020|num-b=1|num-a=3}}
 
{{AMC8 box|year=2020|num-b=1|num-a=3}}
 
{{MAA Notice}}
 
{{MAA Notice}}

Revision as of 05:54, 20 November 2020

Problem 2

Four friends do yardwork for their neighbors over the weekend, earning $$15, $20, $25,$ and $$40,$ respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $$40$ give to the others?

$\textbf{(A) }$5 \qquad \textbf{(B) }$10 \qquad \textbf{(C) }$15 \qquad \textbf{(D) }$20 \qquad \textbf{(E) }$25$

Solution

The friends earn $$\left(15+20+25+40\right)=$100$ in total. Since they decided to split their earnings equally, it follows that each person will get $$\left(\frac{100}{4}\right)=$25$. Since the friend who earned $$40$ will need to leave with $$25$, he will have to give $$40-$25=\boxed{\textbf{(C) }$15}$ to the others.

Video Solution

https://youtu.be/-mSgttsOv2Y

See also

2020 AMC 8 (ProblemsAnswer KeyResources)
Preceded by
Problem 1
Followed by
Problem 3
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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