SOLUTION: A student receives his grade report from a local community college, but the GPA is smugged. He tool the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour c

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Question 43951: A student receives his grade report from a local community college, but the GPA is smugged. He tool the following classes: a 2 hour credit art, a 3 hour credit history, a 4 hour credit science course, a 3 hour credit mathematics course, and a 1 hour science lab. He received a "B" in the art class, an "A" in the history class, a "C" in the science class, a "B" in the mathematics class, and an "A" in the science lab. What was his GPA if the letter grades are based on a 4 point scale? (A=4, B=3, C=2, D=1, F=0)
Please explain the solution.

Answer by psbhowmick(878) About Me  (Show Source):
You can put this solution on YOUR website!
Let C%5B1%5D and G%5B1%5D denote the credit hour and grade obtained in the first subject respectively.
Let C%5B2%5D and G%5B2%5D denote the credit hour and grade obtained in the second subject respectively.
Let C%5B3%5D and G%5B3%5D denote the credit hour and grade obtained in the third subject respectively.
And so on.

First subject: Arts, credit hour C%5B1%5D = 2, grade obtained G%5B1%5D = B = 3.
Second subject: History, credit hour C%5B2%5D = 3, grade obtained G%5B2%5D = A = 4.
Third subject: Science, credit hour C%5B3%5D = 4, grade obtained G%5B3%5D = C = 2.
Fourth subject: Mathematics, credit hour C%5B4%5D = 3, grade obtained G%5B4%5D = B = 3.
First subject: Science Lab., credit hour C%5B5%5D = 1, grade obtained G%5B5%5D = A = 4.

Use the following formula for GPA

or GPA+=+%283%2A2%2B4%2A3%2B2%2A4%2B3%2A3%2B4%2A1%29%2F%282%2B3%2B4%2B3%2B1%29
or GPA+=+%286%2B12%2B8%2B9%2B4%29%2F13
or GPA+=+39%2F13
or GPA+=+3