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.

Answer 1

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

Answer 2

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.