SOLUTION: Monique plans to join a gym so that she can use weights and participate in fitness classes. gym A costs $300/yr plus $4 for each fitness class. gym B costs $360/yr plus $2 for each

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Question 1108375: Monique plans to join a gym so that she can use weights and participate in fitness classes. gym A costs $300/yr plus $4 for each fitness class. gym B costs $360/yr plus $2 for each class. For how many fitness classes will the cost for the two gyms be the same?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Compare the costs, +C+
Let +n+ = number of fitness classes
+C%5B1%5D+=+4n+%2B+300+
+C%5B2%5D+=+2n+%2B+360+
----------------------------
Set +C%5B1%5D+=+C%5B2%5D+
+4n+%2B+300+=+2n+%2B+360+
+2n+=+60+
+n+=+30+
----------------------------
After 30 classes, the costs are the same
check:
+4%2A30+%2B+300+=+2%2A30+%2B+360+
+420+=+420+
OK