SOLUTION: A college student has finished 48 credit hours with a GPA of 2.875. To get into the program she wishes to enter, she must have a GPA of 3.0. How many additional credit hours of 4.0

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Question 398023: A college student has finished 48 credit hours with a GPA of 2.875. To get into the program she wishes to enter, she must have a GPA of 3.0. How many additional credit hours of 4.0 work will raise her GPA to 3.0?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A college student has finished 48 credit hours with a GPA of 2.875. To get into the program she wishes to enter, she must have a GPA of 3.0. How many additional credit hours of 4.0 work will raise her GPA to 3.0?
:
Let c = no. of 4.0 credit hours required to have a 3.0
:
%2848%282.875%29+%2B+4c%29%2F%28c%2B48%29 = 3.0
Multiply both sides by(c+48), results:
48(2.875) + 4c = 3(c+48)
:
138 + 4c = 3c + 144
:
4c - 3c = 144 - 138
:
c = 6 credit hrs at 4.0
:
:
Check this
%2848%282.875%29+%2B+4%286%29%29%2F%286%2B48%29 =
%28138+%2B+24%29%2F%2854%29
162%2F54 = 3