SOLUTION: I have an 83.98% in my class. what do i need to get on a test that's worth 30% of my total grade, to get 82% in the class?

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Question 930988: I have an 83.98% in my class. what do i need to get on a test that's worth 30% of my total grade, to get 82% in the class?
Found 2 solutions by stanbon, TimothyLamb:
Answer by stanbon(75887)   (Show Source): You can put this solution on YOUR website!
I have an 83.98% in my class, tests are worth 30% what do i need to get on my test to still have an 82% in that class?
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# of points you have on your tests thus far:: 0.8398*70 = 58.786
# of points you need in the class:: 82 out of 100
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Score you need out of the final 30 points:: 82-58.786 = 23.214 points
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Percent score you need to get those points:: 23.214/30 = 77.3%
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Doing all of this with one equation::
0.8398*70 + x*30 = 82
30x = 82-0.8398*70
x = (82-0.8398*70)/30
x = 0.773 = 77.3%
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Cheers,
Stan H.
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Answer by TimothyLamb(4379)   (Show Source): You can put this solution on YOUR website!
(1 - 0.30)*83.98 + 0.30x = 82
0.30x = 82 - (1 - 0.30)*83.98
x = ( 82 - (1 - 0.30)*83.98 ) / 0.30
x = 77.38%
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