Question

An apartment building contains 100 units.The one-bedroom units rent for $495 per month and the two bedroom units rent for $600 per month.When all are rented out,the total monthly rent paid by the tenants is $55,275.How many two-bedroom apartments are there
A.45
B.55
C.50
D.66

Answer 1

We have two equations

One to for the total number of units, to distinct them from 1 bedroom units or 2 bedroom units

x- one bedroom units
y- two bedroom units

x+y= 100

495x+600y= 55,275


We can try to plug in these values for y since it’s asks “how many two bedroom apartments are there” and see if it works out

495x+600(45)= 55,275

495x+27000=55275
-27000 -27000

495x= 28275
/495 /495

x=57.12

There can’t be 57.12 units so A is wrong

495x+600(55)= 55,275

495x+ 33000= 55275
-33000 -33000
495x =22275
/495 /495

x=45
This could work so B is the answer , you could go ahead and try C and B but most likely the answer is B