SOLUTION: I have a 77%overall in my math class right now. My final is worth 10% of my grade. It is out of 100 points. I have to have a 70% overall to pass the class. What is the lowest grade

Question 691505: I have a 77%overall in my math class right now. My final is worth 10% of my grade. It is out of 100 points. I have to have a 70% overall to pass the class. What is the lowest grade i could get on my final to pass the class with at least a 70%
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Let x = grade (as a percentage) you get on the final test

Your final is worth 10% of your grade. The remaining stuff is worth 90% of your grade

( 90% of Grade you have Now ) + ( 10% of final ) = Final Overall Grade

( 90% of 77% ) + ( 10% of x ) = Final Overall Grade

( 0.90 * 0.77 ) + ( 0.10 * x ) = Final Overall Grade

Final Overall Grade = ( 0.90 * 0.77 ) + ( 0.10 * x )

Final Overall Grade = 0.693 + 0.10x

You want your final grade to be at least a 70%, so you want this

(Final Overall Grade) > 70%

(Final Overall Grade) > 0.70

(0.693 + 0.10x) > 0.70

0.693 + 0.10x > 0.70

0.10x > 0.70 - 0.693

0.10x > 0.007

x > 0.007/0.10

x > 0.07

So you need at least 7% on the final test to get at least a 70% overall.

Note: you may be thinking that 7% is very very small (too small), but keep in mind that the final is only worth 10% and the bulk of the points are from the remaining 90% (of hw and previous tests/quizzes), so this final doesn't have that much weight compared to finals that are 30%, 40% or 50% of your grade.
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