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

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) (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) (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.
RELATED QUESTIONS
Michael's average on six math tests is 80. Fortunately for Michael, his teacher drops... (answered by solver91311)
how do you do, After 5 tests, a student’s average was 80. After taking an... (answered by scott8148)
After taking five tests, one student�s average grade is 65. Of the student scored 83 on... (answered by Fombitz)
A professor grades students on 4 tests, a term paper, and a final examination. Each test... (answered by Theo)
Evian's average on five tests was 90%. The average of the four highest test scores was... (answered by Theo)
Bully takes 5 mathematics tests, each scaled from 0 to 100, and obtains an average of... (answered by macston)
The grade in Ma. Elena’s history class will be determined completely by three tests,... (answered by Boreal,MathTherapy,ikleyn)
WIll had an average of 74 on his first four Math tests. After taking the next test, his... (answered by ramkikk66)
If I took 5 tests and my average was a 90. What is the lowest test grade I can get on (answered by checkley79)