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 151850: 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?

Found 2 solutions by checkley77, ankor@dixie-net.com:
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
6.5x=22+3.25x
6.5x-3.25x=22
3.25x=22
x=22/3.25
x=6.77 or 7 candles need to be sold to break even.

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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
:
Let x = grade required to make a B
:
%2884+%2B+86+%2B+71+%2B+91+%2B+98+%2B+x%29%2F6 => 82
%28430+%2B+x%29%2F6 => 82
Multiply both side by 6:
430 + x = 6(82)
x = 492 - 430
x = 62 min points to achieve a B
:
You can check solution by substituting for x in the original equation