SOLUTION: An Apartment building contains 12 units consisting of one- and two- bedroom apartments and they rent for $360 and $450 per month respectively. When all units are rented, the total

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Question 422925: An Apartment building contains 12 units consisting of one- and two- bedroom apartments and they rent for $360 and $450 per month respectively. When all units are rented, the total monthly rental is $4950. what is the number of two bedroom apartments.

I Made two equations:
B+T= 12
360B+450T=4950

Answer by htmentor(1343) About Me  (Show Source):
You can put this solution on YOUR website!
You set the problem up correctly. Now all you have to do is solve for T, the number of two bedroom apartments.
Use the 1st equation to get an expression for B, then substitute into the 2nd equation:
B = 12 - T
360(12-T) + 450T = 4950 -> 4320 + 90T = 4950 -> T = (4950-4320)/90 = 7.
So the number of two bedroom apartments = 7.