<PRE><B>Question 398023</B>
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
:
{{{(48(2.875) + 4c)/(c+48)}}} = 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
{{{(48(2.875) + 4(6))/(6+48)}}} =
{{{(138 + 24)/(54)}}}
{{{162/54}}} = 3</PRE>