A house’s living room, dining room and kitchen take up 1,000 sq ft. The house also has a guest bedroom and a master bedroom suite. If the guest bedroom is a quarter of the size of the master bedroom suite, and the house is 2,300 sq ft total, how large is the master bedroom suite?
How many square feet are the bedrooms/bathrooms? ** The house is 2,300 sq ft and we know the non-bedroom sections take up 1,000 sq ft, so that leaves 2300-1000 = <<2300-1000=1300>>1,300 sq ft for the bedrooms/bathrooms
Define a variable ** Let x be the size of the master bedroom suite.
How large is the guest bedroom? ** Then the guest bedroom is 0.25x.
How large are the bedrooms together? ** So together the bedrooms are x + 0.25x = 1.25x in size.
How many square feet are the bedrooms together? ** This means 1.25x = 1300
How large is the master bedroom suite? ** So x = 1300 / 1.25 = <<1300/1.25=1040>>1040 sq ft
#### 1040