Identify solutions to systems of equations with three variables.
What do you notice about the following system of equations?
Below is a word problem and the system of equations that models the context. But, the definition of the variables is missing. Define the variables, solve the system, and give the solution in context of the problem.
A landlord owns three condominiums: a 1 bedroom condo, a 2-bedroom condo, and a 3-bedroom condo. The total rent she receives is $1,240. She needs to make repairs on the condos, and its costs 10% of the 1-bedroom condo’s rent for its repairs, 20% of the 2-bedroom condo’s rent for its repairs, and 30% of the 3-bedroom condo’s rent for its repairs. The total repair bill was $276. The 3-bedroom condo’s rent is twice the 1-bedroom condo’s rent. How much is the rent for each condo?
The following resources include problems and activities aligned to the objective of the lesson that can be used to create your own problem set.
Solve the system of equations:
Algebra II Practice A.REI.C.6: Solving Linear Systems 4 is made available on JMAP by Steve Sibol and Steve Watson. Copyright © 2017 JMAP, Inc. - All rights reserved. Accessed Oct. 19, 2017, 4:30 p.m..