Question

Joe wants to make at least a "B" in Intermediate Algebra. He has grades of 86, 92, 70 and 82 and will take a final that will count as two grades. What does he need to make in order to pass the class with a "B"?

Answer 1

Joe grades are 86,92,70,82

final grades will be counted as two grades.

suppose he scores x grades in finals. So now Joe grades are 86,92,70,82,2x(as final grades counted as two grades). These grades are from 600 as total marks will be 600(400 initial and 200 finals).

now I have taken the US grading system in which B grade ranges from 83 to 86. If your grading system differ from that you can change your range accordingly.

so now the percentage of Joe will vary from 83 to 86 for B grade.

so percentage Joe=(sum of all grades/total marks)*100=((86+92+70+82+2x)/600)*100=(330+2x)/6=(165+x)/3

now this will range from 83 to 86

so 83< (165+x)/3 <86

249< 165+x <258

84< x < 93

so Joe must score between 84 to 93 in order to pass the class with a B grade.