SOLUTION: A wealthy businessman owns a complex which contains 30 apartment. He gets paid R3 000 per month for renting out a two-bedroom apartment and R5 000 per month for renting out a three

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Question 1128521: A wealthy businessman owns a complex which contains 30 apartment. He gets paid R3 000 per month for renting out a two-bedroom apartment and R5 000 per month for renting out a three-bedroom apartment. He collects R106 000 in rent at the end of each month. How many of each type of apartments are in the complex?.
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A wealthy businessman owns a complex which contains 30 apartment. He gets paid R3 000 per month for renting out a two-bedroom apartment and R5 000 per month for renting out a three-bedroom apartment. He collects R106 000 in rent at the end of each month. How many of each type of apartments are in the complex?.
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Equations:
Let "x" be the number of 2-bedroom apartments.
Let "y" be the number 3-bedroom apartments.
Quantity:: x + y = 30 apartments
Rent Value:: 3000x + 5000y = 106000
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Modify to solve for "x"::
5000x + 5000y = 5000*30
3000x + 5000y = 106000
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Subtract and solve for "x"::
2000x = 44000
x = 22 (# of 2-bedroom apartments)
y = 30-x = 8 (# of 3-bedroom apartments)
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Cheers,
Stan H.
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