Question 514509: Formulate but do not solve the problem.
Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of x one-bedroom units, y two-bedroom townhouses, and z three-bedroom townhouses. A total of 192 units are planned, and the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units. If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex.
?= 192
?= y + z
?= 3z
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of x one-bedroom units, y two-bedroom townhouses, and z three-bedroom townhouses.
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A total of 192 units are planned, and
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the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units.
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If the number of one-bedroom units will be 3 times the number of three-bedroom units, find how many units of each type will be in the complex.
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x + y + z = 192 units
y+z = x
x = 3z
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Rearrange:
x + y + z = 192
x - y - z = 0
x + 0 -3z = 0
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Cheers,
Stan H.
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