Question

An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments?

Answer 1

Let, x represents the number of one bedrooms and 12 - x represents the number of two bedrooms.

According to the question,

`360x + 450(12 - x) = 4950`

`360x + 5400 - 450x = 4950`

`5400 - 4950 = 450x - 360x`

`450 = 90x`

`(450)/(90) = x`

`5 = x`

Therefore, one bedrooms = x = 5

For number of two bedrooms which is equal to 12 - x

= 12 - 5

= 7

So your required answer is 7

Answer 2

There are 7 two bed bedroom apartments.

Explanation:

Solution Given:

let the one bedroom apartment be x and two bedroom apartment be y.

By the question we can make an equation as

x+y=12

or y=12-x............................[1]

Again:

$360x+$450y=$4,950

Now substituting value of y, we get

$360x+$450(12-x)=$4,950

Opening Bracket

$360x+$5400-$450x=$,4,950

solving equation

-90x=-450

dividing both side by -90,we get

x=5

again,

substituting value of x in equation 1,we get

y=12-5=7 two bed bedroom apartments.