SOLUTION: Heather received grades of 80, 75, and 86 on three algebra tests. What must her grade be on the next test if her average for the four tests is to be at least 82? Thank You!!! :)

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Question 56001This question is from textbook Algebra 1
: Heather received grades of 80, 75, and 86 on three algebra tests. What must her grade be on the next test if her average for the four tests is to be at least 82?
Thank You!!! :) This question is from textbook Algebra 1

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Heather received grades of 80, 75, and 86 on three algebra tests. What must her grade be on the next test if her average for the four tests is to be at least 82?
:
Let x = the grade needed to raise her average to at least 82
:
%28x+%2B+80++%2B+75+%2B+86%29%2F4 => 82
:
Mut equation by 4, get rid of the denominator
x + 80 + 75 + 86 => 4(82)
:
x + 241 => 328
:
x => 328 - 241
:
x => 87 to get at least an 82 average