SOLUTION: The rent charged for 2 different sized office spaces in an office building is as follows: 600 square feet for $1250 and 900 square feet for $1850. The rent includes not only the c

Question 1134769: The rent charged for 2 different sized office spaces in an office building is as follows: 600 square feet for $1250 and 900 square feet for $1850. The rent includes not only the cost per square foot (which is the same no matter the size) but also includes a processing fee.How much is the processing fee?

Answer by mathsolverplus(88) (Show Source): You can put this solution on YOUR website!
Let x = area of the office spaces in (sq.ft)
Let m = rate
Let b = processing fee
Cost = rate(x) + processing fee
Cost = m(x) + b
1250 = m(600) + b
1850 = m(900) + b
Subtract the two equations:
-600 = -300m
m = 2
Substitute m = 2 back into one of the equations:
1250 = 1200 + b
b = 50
Therefore, the processing fee is $50.

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