SOLUTION: Paul wrote five test which were marked out of a total of 200 marks. His average was 60%. Paul scored 40 out of 50 in a 6th test. What is his NEW average?

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Question 511427: Paul wrote five test which were marked out of a total of 200 marks.
His average was 60%. Paul scored 40 out of 50 in a 6th test.
What is his NEW average?

Found 2 solutions by stanbon, oberobic:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
Paul wrote five test which were marked out of a total of 200 marks.
His average was 60%.
--------------------------
Paul scored 40 out of 50 in a 6th test.
What is his NEW average?
----
Old total marks: 200
Paul's total marks: 0.6*200 = 120
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New total marks: 200+50 = 250
Paul's new total marks: 120 + 40 = 160
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Paul's new percentage: 160/250 = 0.64 or 64%
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cheers,
Stan H.
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Answer by oberobic(2304)   (Show Source): You can put this solution on YOUR website!
5 tests totaled for an average of 60%.
.
On the next test, he scored 40/50 = 80%.
.
So his new average can be determined by proportions:
.
5/6*60 + 1/6*80 = new average
.
50 + 13 1/3 = 63 1/3
.
Done.

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