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.
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.
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