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.

Solution.

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.

Recent Articles

  1. Why Multiply before Adding when doing PEMDAS

    Oct 02, 19 04:34 PM

    Why multiply before adding? The common sense behind doing multiplication before addition

    Read More

New math lessons

Your email is safe with us. We will only use it to inform you about new math lessons.

                                 Follow me on Pinterest

K-12 math tests

Everything you need to prepare for an important exam!

K-12 tests, GED math test, basic math tests, geometry tests, algebra tests. 

Real Life Math Skills

Learn about investing money, budgeting your money, paying taxes, mortgage loans, and even the math involved in playing baseball.