SOLUTION: Each course at Northside Community College is worth either 3 or 4 credits. Five students sharing a house are taking a total of 26 courses that are worth a total of 92 credits. How

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Question 1091806: Each course at Northside Community College is worth either 3 or 4 credits. Five students sharing a house are taking a total of 26 courses that are worth a total of 92 credits. How many 3-credit courses and how many 4-credit courses are being taken?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +x+ = number of 3 credit courses
+26+-+x+ = number of 4 credit courses
--------------------------------------
+3x+%2B+4%2A%28+26+-+x+%29+=+92+
+3x+%2B+104+-+4x+=+92+
+x+=+12+
and
+26+-+x+=+26+-+12+
+26+-+x+=+14+
---------------------
There are 12 3 credit courses
There are 14 4 credit courses
----------------------------
check:
+3x+%2B+4%2A%28+26+-+x+%29+=+92+
+3%2A12+%2B+4%2A14+=+92+
+36+%2B+56+=+92+
+92+=+92+
OK