Respuesta :
Answer:
The x one bedroom is 93 unit, y two-bedroom is 62 units, and z three-bedroom is 31 units.
Step-by-step explanation:
Consider the provided information.
A total of 186 units are planned,
Apartment complex consisting of x one-bedroom units, y two-bedroom townhouses, and z three-bedroom townhouses.
This can be written as:
[tex]x + y + z = 186[/tex] ......(1)
The number of family units (two- and three-bedroom townhouses) will equal the number of one-bedroom units.
[tex]x = y+z[/tex] ......(2)
The number of one-bedroom units will be 3 times the number of three-bedroom units,
[tex]x = 3z[/tex] ......(3)
From 3 and 2.
[tex]3z-z=y[/tex]
[tex]2z=y[/tex]
Substitute the value of x and y in equation 1.
[tex]3z+ 2z + z = 186[/tex]
[tex]6z= 186[/tex]
[tex]z= 31[/tex]
Substitute the value of z in equation 3
[tex]x = 3(31)[/tex]
[tex]x =93[/tex]
Substitute the value of z in [tex]2z=y[/tex]
[tex]2(31)=y[/tex]
[tex]62=y[/tex]
Thus, the x one bedroom is 93 unit, y two-bedroom is 62 units, and z three-bedroom is 31 units.
