Formulate but do not solve the problem.

Question

Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of x one-bedroom units and y two-bedroom townhouses and z three-bedroom townhouses. A total of 190 units is 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.

 

___?_=3z

Answer 1

190 units total  ==>  x + y + z = 190

 

Number of family units will equal number of one-bedroom units  ==>

y + z = x

 

Number of one-bedroom units will be 3 times the number of three-bedroom units  ==> 

x = 3z