You can put this solution on YOUR website! We would need to know how that test was weighted. Was it worth 10% of your grade? Was it worth 20% of your grade?
You can put this solution on YOUR website! It depends on how many grades, n, that were used to have an average of 82.
(1) new ave = (82*n + 95)/(n + 1)
The highest your new average is when n = 1. Then you have
(2) new ave1 = (82+95)/2 or
(3) new ave1 = 88.5
If n = 2 you get
(4) new ave2 = (82*2+95)/3 or
(5) new ave2 = 86.33
And so forth.
When you find n, just use (1) to get your new average.
PS I'm assuming that all grades are equally weighted.