SOLUTION: An appartment building contains 12 units consisting of one bedroom and two bedroom apartments that rent for 360 and 450 per month when all units are rented the total is 4950 what

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Question 897155: An appartment building contains 12 units consisting of one bedroom and two bedroom apartments that rent for 360 and 450 per month when all units are rented the total is 4950 what is the number of two bedroom apartments
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = number of 1 br apts
Let +b+ = number of 2 br apts
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(1) +a+%2B+b+=+12+
(2) +360a+%2B+450b+=+4950+
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(2) +12a+%2B+15b+=+165+
Multiply both sides of (1) by +12+
and subtract (1) from (2)
(2) +12a+%2B+15b+=+165+
(1) +-12a+-+12b+=+-144+
-------------------------
+3b+=+21+
+b+=+7+
and
(1) +a+%2B+b+=+12+
(1) +a+%2B+7+=+12+
(1) +a+=+5+
The number of 2 br apts is 7
check:
(2) +360%2A5+%2B+450%2A7+=+4950+
(2) +1800+%2B+3150+=+4950+
(2) +4950+=+4950+
OK