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4)An apartment building contains 12 units consisting of one- and two- bedroom apartments that rent for �360 and �450 per month respectively. When all units are rented, the total monthly rental is �4,950. What is the number of two- bedroom apartments?
Any idea how to work this out ABers?
I thank you... sidewinder86 (Sat 13:00 04/Jul/09)

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Answers 1 to 9 of 9

tyrepill		(Sat 13:12 04/Jul/09) 7(2 bed)+5 (1 bed)
Gizmonster		(Sat 13:18 04/Jul/09) Let A = number of 1 bedroom appts. Let B = number of 2 bedroom appts. We have 2 equations and 2 unknowns: A + B = 12 so A = 12 - B and (360 x A) + (450 x B) = 4950 substitute A = 12 - B 360 x (12 - B) + 450B = 4950 4320 - 360B + 450B = 4950 90B = 630 i.e. B = 7 (number of 2 bedroom appts) and A = 5 (number of 1 bedroom appts) A quick check: (360 x 5) + ( 450 x 7) 1800 + 3150 = 4950 ...... which is correct so the answer you're looking for is 7
sidewinder86		(Sat 13:19 04/Jul/09) Question Author Thank you tyrepill, but is there a mathematical formula for working this (and more complicated similar problems) out?
sidewinder86		(Sat 13:20 04/Jul/09) Question Author thank you giz, cross posted there.
TCL-MUMPING		(Sun 08:54 05/Jul/09) If you want to find out more about how to solve this type of problem, do a search for "simultaneous equation". The general idea behind it is you have two or more unknown and a number of equations. You do a sum to eliminate an unknown and then substitute that answer for the unknown.
TCL-MUMPING		(Sun 08:55 05/Jul/09) Sorry, that should have been "one or more unknown"
dundurn		(Sun 23:03 05/Jul/09) Given the information given you there is another way of working out this sort of question. Assume all the units are 1 bedroom. If so the monthly rental is 12 x �360 = �4320. In fact you get an additional �630. The difference between a 1 bedroom unit and a 2 bedroom unit is �90. To justify the additional �630, 7 of the units must be 2 bedroom.
carsonking		(Mon 12:41 06/Jul/09) Dandurn, thats how i did it, lol, the other way went completly over my head.
sidewinder86		(Mon 13:00 06/Jul/09) Question Author brilliant, thanks guys.

Answers 1 to 9 of 9

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