11. Both you and your best friend Kelly are taking the same classes this semeste

Question

11. Both you and your best friend Kelly are taking the same classes this semester, Advanced Calculus for Engineers 5 credits, Thermodynamics-3 credits, Circuit Analysis 3 credits, C++ Programming 2 credits, Statistical Process Control for Engineers -3 credits, Engineering Economics -2 credits and Bowling -1 credit. Your final grades for the semester are A, B, B, A, C, B, A respectively. Kelly earned B, A, C, C, A, B, and a C in the same classes that you took. Is it mathematically possible for either of you to earn a cumulative GPA of a 3.5 or higher if you are going to take 16 credit hours during the next semester? Assume the traditional grading scale

Explanation / Answer

19 credit hours this semester, and 16 hours next semester, total 35 credit hours to average (4*5 + 3*3 + 3*3+4*2 + 2*3 + 3*2 + 4*1 + 16*4) / (19 + 16) = my potential GPA = 3.6 GPA, it's possible for me (3*5 + 4*3 + 2*3 + 2*2 + 4*3 + 3*2 + 2*1 + 16*4) / (19 + 16) = Kelly's potential GPA = 3.457 GPA It's impossible for Kelly

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