Art of Problem Solving

2020 AMC 8 Problems/Problem 2: Difference between revisions

Fnu prince (talk | contribs)
Line 8: Line 8:


==Video Solution==
==Video Solution==
https://youtu.be/SPNobOd4t1c (Channel also has resources to prepare for your AIME qualification)
https://youtu.be/eSxzI8P9_h8
https://youtu.be/eSxzI8P9_h8



Revision as of 13:15, 3 January 2021

Problem

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 $\$\left(40-25\right)=\boxed{\textbf{(C) }\$15}$ to the others.

Video Solution

https://youtu.be/SPNobOd4t1c (Channel also has resources to prepare for your AIME qualification)


https://youtu.be/eSxzI8P9_h8

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

These problems are copyrighted © by the Mathematical Association of America, as part of the American Mathematics Competitions. Error creating thumbnail: File missing