MathDB
Payton's Test Increases the Average

Source: 2015 AMC 12A #3 / 10A #5

February 4, 2015
AMC

Problem Statement

Mr. Patrick teaches math to 1515 students. He was grading tests and found that when he graded everyone's test except Payton's, the average grade for the class was 8080. After he graded Payton's test, the class average became 8181. What was Payton's score on the test?
<spanclass=latexbold>(A)</span>81<spanclass=latexbold>(B)</span>85<spanclass=latexbold>(C)</span>91<spanclass=latexbold>(D)</span>94<spanclass=latexbold>(E)</span>95<span class='latex-bold'>(A) </span>81\qquad<span class='latex-bold'>(B) </span>85\qquad<span class='latex-bold'>(C) </span>91\qquad<span class='latex-bold'>(D) </span>94\qquad<span class='latex-bold'>(E) </span>95