SOLUTION: Angela's average for six math tests is 86. On her first tests she had scores of 80, 88, 82, 93. On her last test, she scored 7 points lower than she did on her fifth test. What sco

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Angela's average for six math tests is 86. On her first tests she had scores of 80, 88, 82, 93. On her last test, she scored 7 points lower than she did on her fifth test. What sco      Log On

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Question 104224: Angela's average for six math tests is 86. On her first tests she had scores of 80, 88, 82, 93. On her last test, she scored 7 points lower than she did on her fifth test. What scores did Angela receive on her fifth and sixth tests?
Answer by Earlsdon(6294) About Me  (Show Source):
You can put this solution on YOUR website!
Let x = Angela's score on the 5th test, then (x-7) is her score on the 6th test.
To find the average score, you add the six scores and divide by 6.
%2880%2B88%2B82%2B93%2Bx%2B%28x-7%29%29%2F6+=+86 Add the numbers in the numerator and then multiply both sides by 6.
343-7%2B2x+=+516
336+%2B+2x+=+516 Subtract 336 from both sides.
2x+=+180 Divide both sides by 2.
x+=+90 This is Angela's score on the 5th test.
x-7+=+83 This is Angela's score on the 6th test.
Check:
%2880%2B88%2B82%2B93%2B90%2B83%29%2F6+=+516%2F6 = 86