SOLUTION: A mother wants to give land to her three children. She gives 1/2 of the land to the oldest child, 1/3 to the second child and 1/9 of the land to the youngest child. She keeps one a

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 Question 178004This question is from textbook : A mother wants to give land to her three children. She gives 1/2 of the land to the oldest child, 1/3 to the second child and 1/9 of the land to the youngest child. She keeps one acre for herself. How many acres of land does each child get?This question is from textbook Found 3 solutions by Mathtut, stanbon, josmiceli:Answer by Mathtut(3670)   (Show Source): You can put this solution on YOUR website!lets call x the amount of land : (1/2)x+(1/3)x+(1/9)x+1=x : (9/18)x+(6/18)x+(2/18)x+1=x : (17/18)x+1=x : (1/18)x=1 : acres Answer by stanbon(57214)   (Show Source): You can put this solution on YOUR website!Let "x" be the total acrege. --------------- Equation: acres - acres = acres x -[(1/2)+(1/3)+(1/9)]x = 1 x -[(9+6+2)/18]x = 1 x - (17/18)x = 1 (1/18)x = 1 x = 18 acres ========================== Cheers, Stan H. Answer by josmiceli(9645)   (Show Source): You can put this solution on YOUR website!Let = the total acres of land Multiply both sides by The oldest child gets acres The 2nd child gets acres The youngest gets acres There is acre left for the Mother