MathDB
Laila Does Math

Source: 2018 AMC 8 #13

November 20, 2018
AMC 82018 AMC 8

Problem Statement

Laila took five math tests, each worth a maximum of 100 points. Laila's score on each test was an integer between 0 and 100, inclusive. Laila received the same score on the first four tests, and she received a higher score on the last test. Her average score on the five tests was 82. How many values are possible for Laila's score on the last test?
<spanclass=latexbold>(A)</span>4<spanclass=latexbold>(B)</span>5<spanclass=latexbold>(C)</span>9<spanclass=latexbold>(D)</span>10<spanclass=latexbold>(E)</span>18<span class='latex-bold'>(A) </span>4\qquad<span class='latex-bold'>(B) </span>5\qquad<span class='latex-bold'>(C) </span>9\qquad<span class='latex-bold'>(D) </span>10\qquad <span class='latex-bold'>(E) </span>18