Question

The Lopez's have 7 rental units that bring in $3,950 in rent every month when occupied. If the 3-bedroom rents for $650 a month and the 2-bedroom units $450 a month. How many 2-Bedroom and 3-bedroom rental units do the Lopez's have? Must show Equations in Scratch work. Just type the number for each answer.

Number of 2-Bedroom Rentals = ____
Number of 3-Bedroom Rentals = ____

Answer 1

The Lopez's have 3 two-bedroom and 4 three-bedroom rentals. Using two equations based on the total number of units and the total rent collected, we solved for the quantities of each type of rental unit.

Step-by-step explanation:

To solve this problem, we'll use a system of equations with two unknowns. Let 'x' represent the number of 2-bedroom rentals and 'y' represent the number of 3-bedroom rentals. The Lopez's have a total of 7 rental units, which gives us our first equation:

Equation 1: x + y = 7

The total rent from all units when occupied is $3,950. Since the 2-bedroom rents for $450 and the 3-bedroom for

$650, we have our second equation:

Equation 2: 450x + 650y = 3950

To solve the system, let's multiply Equation 1 by 450 to eliminate 'x' from Equation 2:

450x + 450y = 3150 (Equation 1 multiplied by 450)

Subtracting this from Equation 2, we get:

200y = 800

Dividing both sides by 200 gives us the number of 3-bedroom rentals:

y = 4

Substituting 'y' in Equation 1 gives us the number of 2-bedroom rentals:

x + 4 = 7

x = 3

So, the Lopez's have 3 two-bedroom and 4 three-bedroom rental units.