Formulate but do not solve the problem. Cantwell Associates, a real estate devel
ID: 3054058 • Letter: F
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