An Apartment Building Contains 12 Units Consisting Of One- And Two-bedroom Apartments That Rent For $360 And $450 Per Month, Respectively. When All Units Are Rented, The Total Monthly Rental Is $4,950. What Is The Number Of Two-bedroom Apartments?

Question

An Apartment Building Contains 12 Units Consisting Of One- And Two-bedroom Apartments That Rent For $360 And $450 Per Month, Respectively. When All Units Are Rented, The Total Monthly Rental Is $4,950. What Is The Number Of Two-bedroom Apartments?

3 Answers

Answer Question

Answer 1

I agree 100% with the steps and the way the problem was solved, but I think they missed a little detail. If "x" correspond to 1 bedroom apartment, and "Y" Correspond to two bedroom apartments, then the answer is not x=5. "x" represents one bedroom apartments and they are actually asking for the number of the 2 bedroom apartments which is y=7. Why?
X+y=12 so 5+y=12, y=7. The correct answer is 7.

Answer 2

Anonymous answered

Plz , how can I know , which is the 1 bedroom apartment and the 2 bedroom,?I mean how do you select the variable for each room?

Answer 3

Two Equations come from the word problem:4950 = 360x + 450yx + y = 12Solve for x in second equation:x + y = 12x = 12 - ySubstitute new x value in first equation and solve for y:4950 = 360(12 -y) + 450y4950 = 4320 - 360y + 450y4950 = 4320 + 90y650 = 90y7 = yLastly, plug new y value into either equation. The second is easier:x + y = 12x + 7 = 12x = 5Hope this helps!