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? Give me reasons, before answering the question
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 = 1,300 sq ft for the bedrooms / bathrooms. Let x be the size of the master bedroom suite. Then the guest bedroom is 0.25x. So together the bedrooms are x + 0.25x = 1.25x in size. This means 1.25x = 1300. So x = 1300 / 1.25 = 1040 sq ft. So the final answer is 1040.