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?
Thoughts? Step-by-step reasoning:
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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.
Thus, the answer is 1040.
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