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

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) (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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