Question 213547
A college student has finished 49 credit hours with a GPA of 2.5.
 To get into the program she wishes to enter, she must have a GPA of 3.3.
 How many additional credit hours of 4.0 work will raise her GPA to 3.3?
:
Let x = no. of 4.0 credits required
:
{{{(4x+(49*2.5))/(x+49)}}} = 3.3
{{{(4x+122.5)/(x+49)}}} = 3.3
Multiply both sides by (x+49)
4x + 122.5 = 3.3(x+49)
:
4x + 122.5 = 3.3x + 161.7
:
4x - 3.3x = 161.7 - 122.6
:
.7x = 39.1
x = {{{39.1/.7}}}
x = 55.857 ~ 56 additional 4.0 credit hrs, to get a 3.3 gpa (sounds almost impossible!)
:
:
Check: final total credit hr 49 + 56 = 105
{{{(2.5(49) + 4(56))/105}}} = 
{{{(122.5 + 224)/105}}} =
{{{346.5/105}}} = 3.3