Question

question 4: a building has a total of 60 one - bedroom and two - bedroom apartments. there are twice as many one - bedroom apartments as two - bedroom apartments. how many apartments of each type are in the building? use a system of linear equations to justify your answer. system: x + y = 60

Explanation:

Step1: Define variables

Let \(x\) = number of one-bedroom apartments, \(y\) = number of two-bedroom apartments.

Step2: Set up equations

Total apartments: \(x + y = 60\); Two-bedroom is twice one-bedroom: \(y = 2x\)

Step3: Substitute \(y=2x\) into first equation

\(x + 2x = 60\) → \(3x = 60\)

Step4: Solve for \(x\)

\(x = \frac{60}{3} = 20\)

Step5: Find \(y\)

\(y = 2(20) = 40\)

Answer:

One-bedroom apartments: 20, Two-bedroom apartments: 40