SOLUTION: After ten tests, Bryan’s average test grade was 84. His teacher decided to drop each student’s lowest and highest test grade. This brought Bryan’s average up to 85. If his lowest t

Algebra ->  Average -> SOLUTION: After ten tests, Bryan’s average test grade was 84. His teacher decided to drop each student’s lowest and highest test grade. This brought Bryan’s average up to 85. If his lowest t      Log On


   

Question 257427: After ten tests, Bryan’s average test grade was 84. His teacher decided to drop each student’s lowest and highest test grade. This brought Bryan’s average up to 85. If his lowest test score (of the original 10 tests) was 24 points lower than his highest test, what was his highest test grade?
Found 2 solutions by richwmiller, drk:
Answer by richwmiller(17219) About Me  (Show Source):
You can put this solution on YOUR website!
total of his 10 tests
10*84=840
total of the 8 tests
8*85=680
difference of the two totals
840-680=160
high -lowest
h-l=24
high +lowest
h+l=160
h=92
l=68

Answer by drk(1908) About Me  (Show Source):
You can put this solution on YOUR website!
So, we know that the average of 10 tests is 84. This is a total of 840 points.
We know the average of 8 tests is 85. his is a total of 680 points.
Let the highest score = H and the lowest score = H - 24.
--
8 tests + 2 dropped tests = 10 tests. SO, we get
680 + 2H - 24 = 840.
solving for H, we get
2H = 840 - 680 +24
2H = 184
H = 92
H-24 = 68
HIs highest grade was 92.