Apartment Word Problem
In an apartment building some apartments have a one bedroom and the rest have two bedrooms if there are a total of 50 apartments and 80 bedrooms how many apartments have one bedroom and how many have two bedrooms.
Let x be the number of apartment with 1 bedroom
Let y be the number of apartment with 2 bedrooms
We then derive the following 2 equations from the problem.
x + y = 50 (1)
x + 2y = 80 (2)
Use equation (1) to solve for x
x + y = 50
x + y - y = 50 - y
x = 50 - y
Replace x into equation (2)
50 - y + 2y = 80
50 + y = 80
50 - 50 + y = 80 - 50
y = 30
x = 50 - y = 50 - 30 = 20
Therefore, 30 apartments have 2 bedrooms and 20 apartments have 1 bedroom.
Click here to post comments
Join in and write your own page! It's easy to do. How? Simply click here to return to System of linear equations.
Nov 15, 18 05:01 PM
Modeling multiplication with number counters - Learning multiplication is fun!
New math lessons
Your email is safe with us. We will only use it to inform you about new math lessons.