SOLUTION: Kodos became upset and agitated when told that he could not transfer credits from another planet. He has taken 20 credits with a GPA of 3.2. He needs a 3.3 to remain in the program

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Question 1041636: Kodos became upset and agitated when told that he could not transfer credits from another planet. He has taken 20 credits with a GPA of 3.2. He needs a 3.3 to remain in the program as a non-resident alien. How many credits does he need with a GPA of 3.5 to raise his gpa to 3.3?
I feel like this question doesn't make sense but my teacher says that it does..

Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
It's a little bit strange for a word problem.
You can say for sure he has a GPA of 3.2
He wants to have a GPA of 3.3
He took 20 credits to get the 3.2 GPA
-----------------------------
The strange part is that the GPA of 3.5
must only apply to the credits he gets
from now on, even though that number
doesn't mean very much to him
--------------------------------
Let +n+ = the number of credits he needs
from this point on.
Let +s%5B2%5D+ = the sum of his new grades
I can say:
[ GPA( new credits only ) ] = [ sum of the new grades ] / [ number of credits ]
+3.5+=+s%5B2%5D+%2F+n+
+s%5B2%5D+=+3.5n+
-------------------
Let +s%5B1%5D+ = the sum of his grades at this point
So, at this point, I can say:
+3.2+=+s%5B1%5D+%2F+20+
+s%5B1%5D+=+64+
-----------------
Now I can say:
+3.3+=+%28+s%5B1%5D+%2B+s%5B2%5D+%29+%2F+%28+20+%2B+n+%29+
+3.3+=+%28+64+%2B+3.5n+%29+%2F+%28+20+%2B+n+%29+
+3.3%2A%28+20+%2B+n+%29+=+64+%2B+3.5n+
+66+%2B+3.3n+=+64+%2B+3.5n+
+.2n+=+2+
+n+=+10+
He needs 10 credits that have a GPA of 3.5
in order to have a 3.3 GPA
-------------------------
check:
+s%5B2%5D+=+3.5n+
+s%5B2%5D+=+3.5%2A10+
+s%5B2%5D+=+35+
------------------
+s%5B1%5D+=+64+
+s%5B1%5D+%2B+s%5B2%5D+=+35+%2B+64+
+s%5B1%5D++%2B+s%5B2%5D+=+99+
------------------------
+3.3+=+99+%2F+%28+20+%2B+n+%29+
+3.3+=+99+%2F+%28+20+%2B+10+%29+
+3.3+=+99+%2F+30+
+99+=+99+
OK