SOLUTION: John recently scored a 96 on a 100 point test. This score brought up his overall test average 3 percentage points to 81%. How many tests has John’s class taken in total if every te

Algebra ->  Average -> SOLUTION: John recently scored a 96 on a 100 point test. This score brought up his overall test average 3 percentage points to 81%. How many tests has John’s class taken in total if every te      Log On


   

Question 1056559: John recently scored a 96 on a 100 point test. This score brought up his overall test average 3 percentage points to 81%. How many tests has John’s class taken in total if every test was 100 points?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
John recently scored a 96 on a 100 point test.
This score brought up his overall test average 3 percentage points to 81%.
How many tests has John’s class taken in total if every test was 100 points?
:
Before the test his average was 3 points less or 78
let n = number test he took before the 96
%28%2878n+%2B+96%29%29%2F%28%28n%2B1%29%29 = 81
78n + 96 = 81(n+1)
78n + 96 = 81n + 81
96 - 81 = 81n - 78n
15 = 3n
n = 15/3
n = 5 test before he got the 96
"How many tests has John’s class taken in total?"
6 tests