SOLUTION: 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 w

Algebra ->  Quadratic Equations and Parabolas -> SOLUTION: 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 w      Log On


   



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?
Found 2 solutions by ankor@dixie-net.com, josmiceli:
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
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
:
%284x%2B%2849%2A2.5%29%29%2F%28x%2B49%29 = 3.3
%284x%2B122.5%29%2F%28x%2B49%29 = 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%2F.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
%282.5%2849%29+%2B+4%2856%29%29%2F105 =
%28122.5+%2B+224%29%2F105 =
346.5%2F105 = 3.3

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
The situation with 49 credit hours is
(49 credit hours)/(2.5 GPA) = current hours
19.6 = current hours
How many additional credit hours of 4.0
work will raise her GPA to 3.3?
Let the number of additional hours needed = x
3.3+=+%284x+%2B+49%29%2F+%2819.6+%2B+x%29
3.3%2A%2819.6+%2B+x%29+=+4x+%2B+49
64.68+%2B+3.3x+=+4x+%2B+49
.7x+=+15.68
x+=+22.4
She will need 22.4 hours of 4.0 work or
4%2A22.4+=+89.6 more credit hours
Hope I didn't mess this up