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Averaging........

Source: 2019 AMC 8 #7

November 19, 2019
AMC 8

Problem Statement

Shauna takes 55 tests, each worth a maximum of a 100100 points. Her scores on the first three tests were 7676, 9494, and 8787. In order to average an 8181 on all five tests, what is the lowest score she could earn on one of the two tests?
<spanclass=latexbold>(A)</span>48<spanclass=latexbold>(B)</span>52<spanclass=latexbold>(C)</span>66<spanclass=latexbold>(D)</span>70<spanclass=latexbold>(E)</span>74<span class='latex-bold'>(A) </span> 48 \qquad<span class='latex-bold'>(B) </span> 52 \qquad<span class='latex-bold'>(C) </span> 66 \qquad<span class='latex-bold'>(D) </span> 70 \qquad<span class='latex-bold'>(E) </span> 74