Question

Benjamin& Associates, a real estate developer, recently builit 209 condominiums in McCall, Idaho. The condos were either two-bedroom units or three-bedroom units If the total number of rooms in the entire complex is 530, how many two-bedroom units are there? How many three-bedroom units are there? There are A. two-bedroom units and B. three-bedroom units

Answer 1

2 bed room condos are 97 and 3 bed room condos are 112.

Explanation:

Consider the provided information.

Benjamin& Associates, a real estate developer, recently builit 209 condominiums in McCall, Idaho.

Let number of 2 bed room units = x and 3 bed room units = y.

`x+y = 209`

`y= 209-x`

The total number of rooms in the entire complex is 530,

`2x + 3y = 530`

Substitute the value of y in above equation.

`2x + 3 (209-x) = 530`

`2x + 627 - 3x = 530`

`x = 97`

Now find the value of y as shown

`y = 209-97 = 112`

Hence, 2 bed room condos are 97 and 3 bed room condos are 112.