2019 AMC 8 Problems/Problem 7

Problem 7

Shauna takes five tests, each worth a maximum of $100$ points. Her scores on the first three tests are $76$ , $94$ , and $87$ . In order to average $81$ for all five tests, what is the lowest score she could earn on one of the other two tests?

$\textbf{(A) }48\qquad\textbf{(B) }52\qquad\textbf{(C) }66\qquad\textbf{(D) }70\qquad\textbf{(E) }74$

Solution 1

Right now, she scored 76, 94, and 87 points, with a total of 257 points. She wants her average to be 81 for her 5 tests so she needs to score 405 points in total. She needs to score a total of (405-257) 148 points in her 2 tests. So the minimum score she can get is when one of her 2 scores is 100. So the least possible score she can get is $\boxed{\textbf{(A)}\ 48}$ . ~heeeeeeeheeeeee

2019 AMC 8 (Problems • Answer Key • Resources)
Preceded by Problem 6	Followed by Problem 8
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2019 AMC 8 Problems/Problem 7

Problem 7

Solution 1

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