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2020 AMC 8 Problems/Problem 2: Difference between revisions

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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
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) }.
 
<math>oceanxia
==Solution 2==
==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}</math>.<br>
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]
~[http://artofproblemsolving.com/community/user/jmansuri junaidmansuri]


Revision as of 17:56, 19 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

First we average $15,20,25,40$ to get $25$. Thus, $40 - 25 = \boxed{\textbf{(C) }\$15.}$. ~~Spaced_Out Note if you get $100 once adding it up and then /4=$15 or \boxed{\textbf{(C) }. $oceanxia ==Solution 2== The total earnings for the four friends is$\$15+\$20+\$25+\$40=\$100$. Since they decided to split their earnings equally among themselves, it follows that each person will get$\frac{\$100}{4}=\$25$. Since the friend who earned$\$40$will need to leave with$\$25$, he will have to give$\$40-\$25=\$15$to the others$\implies\boxed{\textbf{(C) }\$15}$.
~junaidmansuri

Video Solution

https://youtu.be/-mSgttsOv2Y

~savannahsolver

See also

2020 AMC 8 (Problems • Answer Key • Resources)
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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