Question

An apartment building contains 100 units. The one-bedroom units rent for $600 per month. When all the units are rented out, the total monthy rent paid by the tenants is $55,275. How many two-bedroom apartments are there?

O 45
O 66
O 55
O 50

Answer 1

55

Explanation:

Let x represent the number of one bedroom units and y represent the number of two bedroom units.

Since the apartment building contains 100 units:

1) x + y = 100

The total monthly rent paid by the tenants is $55,275, so:

2) 495x + 600y = 55275

Solving equation 1 and 2 gives:

x = 45, y = 55

So, there are 55 two-bedroom units in the apartment.