Asked by AMT help

Ten students sit a test consisting of 20 questions. Two students get 8 questions correct and one student gets 9 questions correct. The remaining seven students all get at least 10 questions correct and the average number of questions answered correctly by these seven students is an integer. If the average number of questions answered correctly by all ten students is also an integer, then what is that integer?
Answered by Ms. Sue
http://www.mathsisfun.com/whole-numbers.html
Answered by AMT help
This is all the info I was given. It was also a question I was given in a math competition that I participated in and the answer is either
A.10
B.11
C.12
D.13
E.14
Answered by Damon
sum for the 7 over 10 must be divisible by 7 and from 77 to 140 by sevens
77, 84 , ...... 105 , 112 ..... 140

that sum + 2*8+9 or 25 must be divisible by 10

LOL 105 !!!
105 + 25 = 130

130/10 = 13


Answered by Damon
even for a contest.
Answered by AMT help
Yes it was a hard question but thank u so much for helping
Answered by Damon
You are welcome.
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