Question 662541
An apartment building has studio, one-bedroom, and two bedroom apartments. The building has a total of 60 apartments. There are half as many studio apartments as one- bedroom apartments in the building. The rent for a studio is $650, for a one bedroom is $875, and for a two bedroom is $1250. If all the apartments are occupied, the owner of the building collects $53,400 in rent per month. How many of each type of apartment are in the building?
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Equations:
s   + o + t = 60 
-2s + o + 0 = 0
650s + 875o + 1250t = 53400
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I used a matrix function on my TI-84 to get the following:
s = 16 (# of studio apartments) 
o = 32 (# of one-bedroom aparts)
t = 12 (# of two-bedroom aparts)
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Cheers,
Stan H.