Question

In a math class, each student who does not turn in a homework assignment receives a 0 for that assignment. Of the 10 students in the math class, what is the maximum possible number who did not turn in Homework assignment #1?
We are given that one student's score on Homework assignment #1 is 96 out of 100 possible points and that the class average is 86.7 out of 100 possible points.

Answers

ten students with an 86.7 average means 867 total points

if more than one student receives a zero
... then the average can't be above 80
If 8 students got 100, and one student got a 96, and one got zero, that means that the maximum total points are 896, and the class average is 89.6

With two zeroes, the average is 79.6 max, so only 1 student could have scored a zero.

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