|
Question 1107214: Formulate a system of equations for the situation below and solve.
Cantwell Associates, a real estate developer, is planning to build a new apartment complex consisting of one-bedroom units and two- and three-bedroom townhouses. A total of 192 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 units
two-bedroom townhouses units
three-bedroom townhouses units
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! a new apartment complex consisting of one-bedroom units and two- and three-bedroom townhouses. A total of 192 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.
Equations:
Quantity Eq:: O + t + r = 192 units
Quantity Eq:: t + r = O
Quantity Eq:: O = 3r
----------------------
Substitute and solve::
3r +(3r-r) + r = 192
6r = 192
r = 32 (# of 3-bedroom units)
O = 3r = 96 (# of One bedroom units)
t = 3r-4r = 2r = 64 (# of two bedroom units)
------------------
Cheers,
Stan H.
------
|
|
|
| |
