SOLUTION: On six exams, Alex has scored 82, 86, 75, 91, 92, and 87 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 bet

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Question 206968: On six exams, Alex has scored 82, 86, 75, 91, 92, and 87 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?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
Alex has scored 82, 86, 75, 91, 92, and 87 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?
;
Let x = final exam score
:
%2882+%2B+86+%2B+75+%2B+91+%2B+92+%2B+87+%2B+x%29%2F7 = 82
:
%28513+%2B+x%29%2F7 = 82
Multiply both sides by 7
513 + x = 82 * 7
:
x = 574 - 513
:
x = 61