Alex is painting a house. He uses 1/3 of the paint he bought on the dining room. He uses twice as much on the living room as on the kitchen, where he uses 1 1/2 gallons. He has 1 1/2 gallons of paint left. How much paint did Alex buy?

Question

Alex is painting a house.  He uses 1/3 of the paint he bought on the dining room.  He uses twice as much on the living room as on the kitchen, where he uses 1 1/2 gallons.  He has 1 1/2 gallons of paint left.  How much paint did Alex buy?

Damon · Answer

bought x gallons dining room = (x/3) gallons kitchen = 1.5 gallons living rm = 3 gallons leftover = 1.5 gallons so (x/3) + 6 = x 6 = 2 x/3 x = 9 gallons