Question 216334: A father left all his money to his three children. Matt received one sixth of his father's money while Samantha received one seventh of his money. Andrew, who received the remainder of the money was given $23,490. How much money did Matt and Samantha each receive?
Answer by checkley77(12844)   (Show Source):
You can put this solution on YOUR website! x/6+x/7+23,490=x
(7x+6x)/42+23,490=x
13x/42=x-23,490
13x=42x+42*-23,490
13x-42x=-986,580
-29x=-986,580
x=-986,580/-29
x=$34,020 amount of the total inheritance.
Proof:
34,020/6+34,020/7+23,490=34,020
5,670+4,860+23,490=34,020
34,020=34,020
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