Formulate but do not solve the problem. Cantwell Associates, a real estate devel

Question

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 124 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 2 times the number of three-bedroom units, find how many units of each type will be in the complex. ____= 124 ____ = y + z ____= 2z

Explanation / Answer

A total of 124 units are planned, therefore

X+Y+Z = 124

the number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units

y+z = x

the number of one-bedroom units will be 2 times the number of three-bedroom units

x = 2z

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