SOLUTION: The average grade of Folly in his 6 subjects is 83.45. What grade must he have in his 7th subject so that he will have the average of 85? Thank you

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Question 1121565: The average grade of Folly in his 6 subjects is 83.45. What grade must he have in his 7th subject so that he will have the average of 85? Thank you
Found 4 solutions by Stitch, ankor@dixie-net.com, Alan3354, MathTherapy:
Answer by Stitch(470)   (Show Source): You can put this solution on YOUR website!
Let C = The current grade sum of his previous 6 tests.
Let G = Be the grade needed on the 7th test

We can now write two equations.
Equation 1:
Equation 2:
Lets start by solving equation 1 for C:

Multiply both sides by 6

Simplify

Now plug 500.7 into equation 2 for C
Equation 2:

Multiply both sides by 7

Simplify

Subtract 500.7 from both sides.

Folly will have to get a score of 94.3 on the next test.

Answer by ankor@dixie-net.com(22740)   (Show Source): You can put this solution on YOUR website!
The average grade of Folly in his 6 subjects is 83.45.
Find the total grade for these 6 subjects
6 * 83.45 = 500.7
What grade must he have in his 7th subject so that he will have the average of 85?
let x = the grade of the 7th subject
= 85
500.7 + x = 85 * 7
x = 595 - 500.7
x = 94.3

Answer by Alan3354(69443)   (Show Source): You can put this solution on YOUR website!
The average grade of Folly in his 6 subjects is 83.45. What grade must he have in his 7th subject so that he will have the average of 85?
-------
(6*83.45 + G)/7 = 7*85

Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

The average grade of Folly in his 6 subjects is 83.45. What grade must he have in his 7th subject so that he will have the average of 85? Thank you

Solve for S, the 7th-subject score to get your answer.
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