SOLUTION: A student with a 1.875 GPA has 24 credit hours. Find how many credit hour B's at 3 points per credit hour he would need to raise his GPA to 2.70.

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Question 196298: A student with a 1.875 GPA has 24 credit hours. Find how many credit hour B's at 3 points per credit hour he would need to raise his GPA to 2.70.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A student with a 1.875 GPA has 24 credit hours.
Find how many credit hour B's at 3 points per credit hour he would need to
raise his GPA to 2.70.
:
Let x = no. of B credit hrs (3)
:
The equation for this:
Existing credit value + addition credit value at B; divide by 24 + B credit hrs = 2.70
%28%2824%2A1.875%29+%2B+3x%29%2F%28x%2B24%29 = 2.70
:
%2845+%2B+3x%29%2F%28x%2B24%29 = 2.70
Multiply both sides by (x+24)
3x + 45 = 2.7(x+24)
:
3x + 45 = 2.7x + 64.8
:
3x - 2.7x = 64.8 - 45
:
.3x = 19.8
x = 19.8%2F.3
x = 66 credit hrs with a B
;
:
Check that:
%2845+%2B+3%2866%29%29%2F%2866%2B24%29 =
243%2F90 = 2.7