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 townhouses, and z three-bedroom townhouses. A total of 128 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. X + y + z = 128 x = y + z x - 128 = 2z

Explanation / Answer

Your first two equations are correct.

Our third equation depends upon the following sentence.

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

It means

number of one-bedroom units = 2 * number of three-bedroom units

                                   x          = 2 * z

So the answer for third equation is x = 2z

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