SOLUTION: Tom scored 82, 73, 80, 76, and 84 on five exams. What grade must Tom obtain on his sixth exam to have an average of 80? Show your step by step work!

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Question 290657: Tom scored 82, 73, 80, 76, and 84 on five exams. What grade must Tom obtain on his sixth exam to have an average of 80? Show your step by step work!
Found 2 solutions by College Student, richwmiller:
Answer by College Student(505) About Me  (Show Source):
You can put this solution on YOUR website!
Tom scored 82, 73, 80, 76, and 84 on five exams. What grade must Tom obtain on his sixth exam to have an average of 80?

Let the missing score be "X", therefore, the equation becomes:

%2882%2B73%2B80%2B76%2B84%2Bx%29%2F6=80
82%2B73%2B80%2B76%2B84%2Bx=%2880%2A6%29
395%2Bx=480
x=480-395
x=85

Now check your answer by replacing the x value in the original equation:
%2882%2B73%2B80%2B76%2B84%2Bx%29%2F6=80
%2882%2B73%2B80%2B76%2B84%2B85%29%2F6=80

I'll let you finish it.

Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
according to your category choice this problem is about unit conversion.
Which units are being converted?
There are several approaches to this problem.
For the student to get 80 average he must get at least 80 on the next test plus make up for all the marks less than 80.
here are hos overages and underages:
+2-7+0-4+4
so he is under 5
so he needs at least 85
(395+x)/6=80
x=85