# 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.

## Recent Articles

1. ### Find water left in a tank using arithmetic sequences

Jul 20, 17 10:41 PM

A water tank is emptied at a constant rate. Initially, 36,000 gallons of water were in the tank. A the end of five hours, 16,000 gallons remained. How

New math lessons

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

## Recent Lessons

1. ### Find water left in a tank using arithmetic sequences

Jul 20, 17 10:41 PM

A water tank is emptied at a constant rate. Initially, 36,000 gallons of water were in the tank. A the end of five hours, 16,000 gallons remained. How