SOLUTION: On five exams, Alex has scored 84, 86, 71, 91, and 98 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better.

Algebra ->  Polynomials-and-rational-expressions -> SOLUTION: On five exams, Alex has scored 84, 86, 71, 91, and 98 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better.      Log On


   

Question 152678: On five exams, Alex has scored 84, 86, 71, 91, and 98 points out of 100. He wants to earn at least a B in the course, which corresponds to an overall average grade of 82 or better. Out of 100 points, what is the minimum number of points Alex must earn on the final exam to achieve this goal?
PLEASE HELP..I'M SO CONFUSING!!!!
Found 2 solutions by Fombitz, neodudesam:
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
The average is the sum of all of the scores divided by the total number of scores.
Let call his final grade X.
The average would then be,
A=%2884%2B86%2B71%2B91%2B98%2BX%29%2F6
The average is divided by 6 because there would be 6 scores after the final.
Set the average equal to 82 and solve for X.
A=%2884%2B86%2B71%2B91%2B98%2BX%29%2F6=82
84%2B86%2B71%2B91%2B98%2BX=492
430%2BX=492
X=62
He needs to score at least a 62 to average out to an 82.

Answer by neodudesam(4) About Me  (Show Source):
You can put this solution on YOUR website!
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