SOLUTION: A student scored 72 and 89 on her first two quizzes. Write and solve a compound inequality to find the possible values for the third quiz score that would give her an average betw

Question 996812: A student scored 72 and 89 on her first two quizzes. Write and solve a compound inequality to find the possible values for the third quiz score that would give her an average between 75 and 90, inclusive.
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
average=total/number
number*average=total
total must be between 225 and 270, those coming from multiplying 3 by 75 and 90 respectively.
current total is 161.
the score x, when added to 161 has to be between 225 and 270. But x can't be greater than 100.
225<=161+x<=270
or
64 <= x<= 100, since a score of 109 can't be obtained.
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