Difference between revisions of "2020 AMC 8 Problems/Problem 2"
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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< | + | 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 18:56, 19 November 2020
Contents
Problem 2
Four friends do yardwork for their neighbors over the weekend, earning and
respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned
give to the others?
Solution
First we average to get
. Thus,
. ~~Spaced_Out Note if you get
15 or \boxed{\textbf{(C) }.
$15+$20+$25+$40=$100
\frac{$100}{4}=$25
$40
$25
$40-$25=$15
\implies\boxed{\textbf{(C) }$15}$.
~junaidmansuri
Video Solution
~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 |
The problems on this page are copyrighted by the Mathematical Association of America's American Mathematics Competitions.