I couldnt understand how to solve this could anyone help me

7. - -1.56 points TanFint1 22.064. 0/6 Submissions Used My Notes Ask Your Teacher Formulate a system of equations for the situation below and solve. Cantwell Associates, a real estate developer, is planning to build a nevw apartment complex consisting of one-bedroom units and two- and three- bedroom townhouses. A total of 216 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. one-bedroom units two-bedroom townhouses three-bedroom townhouses units units units Need Help? LReadit LTaikt.. Tutor Submit Answer Save Progress

Solution

let number of one-bedroom units be x

let number of two-bedroom units be y

and let number of three-bedroom units be z

Given that total number of units planned are 216

==> x + y + z = 216 --------- (1)

Also given that number of family units (one and two bedroom units) will equal the number of one bedroom units

==> y + z = x -------- (2)

And number of one - bedroom units are three times the number of three - bedroom units

==> x = 3z ----- (3)

from (1) and (2)

Substitute (2) in (1)

==> x + (x) = 216

==> 2x = 216

==> x = 108

substitute x = 108 in (3)

==> 108 = 3z

==> z = 108/3

==> z = 36

Substitute z = 36 and x = 108 in (2)

y + 36 = 108

==> y = 108 - 36

==> y = 72

Hence number of one-bedroom units are x = 108

number of two-bedroom units are y = 72

number of three-bedroom units are z = 36