Question

Benjamin​ & Associates, a real estate​ developer, recently built 201 condominiums in​ McCall, Idaho. The condos were either three​-bedroom units or four​-bedroom units. If the total number of bedrooms in the entire complex is 704​, how many three​-bedroom units are​ there? How many four​-bedroom units are​ there?

Answer 1

Answer: There are 100 three​-bedroom units .

There are 101 four​-bedroom units.

Step-by-step explanation:

Let x denotes the number of condominiums having three bedrooms and y denotes the condominiums with four​-bedrooms.

Then according to the given description, we have

$x+y=201------------------(1)\\\\3x+4y=704------(2)$

Multiply 3 on both sides of eqn (1), we get

$3x+3y=603-----------(3)$

Subtract equation (3) from (2), we gte

$y=101$

Put y= 101 in (1), we get

$x+101=201\\\\ x=201-101=100$

Hence, there are 100 three​-bedroom units and 101 four​-bedroom units.