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2020 AMC 8 Problems/Problem 2: Difference between revisions

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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}</math>.<br>
~[http://artofproblemsolving.com/community/user/jmansuri junaidmansuri]
~[http://artofproblemsolving.com/community/user/jmansuri junaidmansuri]
==Solution 3==
Note that they will each get an equal amount, or the average, so we have <math>\dfrac{\$15+\$20+\$25+\$40}{4}=\dfrac{\$100}{4}=\$25,</math> and so the person with <math>\$40</math> will have to give <math>\$40-\$25=\boxed{\textbf{(C) }\$15}</math> to the others.
[pog]
==Solution 4==
Notice that the friends have <math>\$15+\$20+\$25+\$40=\$100</math> combined. Hence, they should each have <math>\frac{\$100}{4}=\$25</math> if they are to slit the bounty equally. The answer then is <math>\$40-x=\$25 \Rightarrow x=\textbf{(C)}\ \$15 </math>.
-franzliszt


==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 18:53, 18 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

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

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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