2020 AMC 8 Problem 2

Below is the video solution and professionally curated solution for Problem 2 of the 2020 AMC 8, from LIVE by Po-Shen Loh. You can also try the full timed exam, view all 2020 AMC 8 solutions, or check the answer key.

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Concepts:meanmoney

Difficulty rating: 450

2.

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

55

1010

1515

2020

2525

Video solution:
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Written solution:

First, the total amount of money that they make is $15+$20+$25+$40=$100.\$15+\$20+\$25+\$40=\$100.

Since they divide this equally, they each get 1004=25\frac{100}{4}=25 dollars.

This means that the person who earned $40\$40 earned $15\$15 more than what he will end up with, so he gives $15\$15 to the others.

Thus, the correct answer is C.

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