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

Algebra ->  Average -> 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      Log On


   



Question 996810: 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 fractalier(6550) About Me  (Show Source):
You can put this solution on YOUR website!
The setup for this problem is
75 < (72+89+x)/3 < 90
Now multiply everything by three and simplify and get
225 < 161 + x < 270
Now subtract 161 and get
64 < x < 109