Answer:
55
Step-by-step 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.