# SOLUTION: You plant a 4 foot maple tree that grows at a rate of 6 inches per year and a 2 foot birch tree that grows a t a rate of 8 inches a year. In how many years will they be the same he

Algebra ->  Algebra  -> Coordinate Systems and Linear Equations -> SOLUTION: You plant a 4 foot maple tree that grows at a rate of 6 inches per year and a 2 foot birch tree that grows a t a rate of 8 inches a year. In how many years will they be the same he      Log On

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 Click here to see ALL problems on Linear-systems Question 75367: You plant a 4 foot maple tree that grows at a rate of 6 inches per year and a 2 foot birch tree that grows a t a rate of 8 inches a year. In how many years will they be the same height? What is that height?Answer by ankor@dixie-net.com(15623)   (Show Source): You can put this solution on YOUR website!You plant a 4 foot maple tree that grows at a rate of 6 inches per year and a 2 foot birch tree that grows a t a rate of 8 inches a year. In how many years will they be the same height? What is that height? : Let t = number of years when they are the same height in inches : Convert initial heights to inches: Maple: 12*4 = 48" Birch: 12*2 = 24" : Birch ht = Maple ht 8t + 24 = 6t + 48 8t - 6t = 48 - 24 2t = 24 t = 24/2 t = 12 yrs to be the same height : Find the height (also checks our solution: Maple: 6(12) + 48 = 120" or 10 ft Birch: 8(12) + 24 = 120" or 10 ft