SOLUTION: The class average on a test is exactly 83. take away the best score and the average is 82. There are 16 students in the class, what is the best score? x/16=83-x/16???

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: The class average on a test is exactly 83. take away the best score and the average is 82. There are 16 students in the class, what is the best score? x/16=83-x/16???      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 528539: The class average on a test is exactly 83. take away the best score and the average is 82. There are 16 students in the class, what is the best score?
x/16=83-x/16???
Found 2 solutions by oberobic, josmiceli:
Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
x = total points scored by the class
.
x/16 = 83
x = 16*83
x = 1328
.
Take away the best score and the average is 82
.
y/15 = 82
y = 15*82
y = 1230
.
Therefore, the best score was 1328 - 1230 = 98.

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let s = sum of scores of all 16 students in class
Let h = the highest score of the 16 students
With all the students in class:
(1) +83+=+s+%2F+16+
With highest score taken away:
(2) +82+=+%28+s+-+h+%29+%2F+15+
------------------
This is 2 equations and 2 unknowns, so it's solvable
(1) +s+=+16%2A83+
(2) +15%2A82+=+s+-+h+
Substitute (1) into (2)
(2) +15%2A82+=+16%2A83+-+h+
(2) +h+=+16%2A83+-+15%2A82+
Can't find my calculator- you can finish