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 178003This 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

Answer by Mathtut(3670) About Me  (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
:
highlight%28x=18%29acres