Here’s how to think about it.
First, identify the quantities involved.
Let g be the total GPA
Let c be the total credit hours
Let s be the score in the last class
Let h be the credit Hours up to now
Let n be the score up to now
Next, Translate the words into equations.
Translate “I have completed 49 credits... currently taking 6 credits” into
c = 49 + 6 = 55
What is the GPA?
(Total score) / (total credits)
we we know that your current GPA is 3.33. This means that
n/h = 3.33
we will need to know n, so solve for it
n = 3.33 * h
Substitute value for h
n = 3.33 * 49 = 163.33
Now to get the required score s.
G = (n + s)/c
3.4 = (163.33 + s)/55
solve for s
An algebra student can solve for this, but I’ll finish the calculation.
multiply by the denominator
3.4 * 55 = 163.33 + s
subtract 163.33 from both sides
3.4 * 55 - 163.33 = s
187 - 163.33 = s
24.33 = s
Since the credits for last course = 6,
you need a grade of 24.33/6 = 4.08
So you need an A and some extra credit.