SOLUTION: Torry took 6 tests, she had an average 97. First 5 tests had the same score. The last test had 12 points less. What was her last test score?

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Question 156070: Torry took 6 tests, she had an average 97. First 5 tests had the same score. The last test had 12 points less. What was her last test score?
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
If Torry has an Average of 97 for 6Tests, so his total will be 6%2A97=highlight%28582%29points
Now, let the score for each test be X. SO, T%5B1%5D=T%5B2%5D=T%5B3%5D=T%5B4%5D=T%5B5%5D=X. And the condition that the last Test, T%5B6%5D is 12 less, so the score is X-12. Therefore adding the 6 Tests' score will total to highlight%28582%29. To show:
T%5B1%5D%2BT%5B2%5D%2BT%5B3%5D%2BT%5B4%5D%2BT%5B5%5D%2BT%5B6%5D=582
X%2BX%2BX%2BX%2BX%2BX-12=582
6X=582%2B12
6X=594 ----> cross%286%29X%2Fcross%286%29=cross%28594%2999%2Fcross%286%29
X=99--------------------------> SCORE for the 1st 5 tests T%5B1%5D-T%5B5%5D
99-12=87 ---------------------> SCORE on the last test T%5B6%5D
In doubt? Let's add the total tests & the should equal to highlight%28582%29:
99%2B99%2B99%2B99%2B99%2B87=582
582=582
Thank you,
Jojo