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2000 AMC 10 Problem 14

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2000 AMC 10 Problem 14AMC 10 Step by Step

Name: Date: September 13, 2026

Modular Arithmetic · difficulty 3 of 5 · about 5 min · position P11-15

Mrs. Walter gave an exam in a mathematics class of five students. She entered the scores in random order into a spreadsheet, which recalculated the class average after each score was entered. Mrs. Walter noticed that after each score was entered, the average was always an integer. The scores (listed in ascending order) were $71$ , $76$ , $80$ , $82$ , and $91$ . What was the last score Mrs. Walters entered?

A)
$71$
B)
$76$
C)
$80$
D)
$82$
E)
$91$

2000 AMC 10 Problem 14

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