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Question 1201572: An estate is to be distributed among a wife, three children, and two grandchildren. The children will each receive three times as much as each grandchild, and the wife will receive four times as much as each child. If the estate amounts to $1115,000, how much will each person receive?
Found 2 solutions by Theo, josgarithmetic:
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! you have a wife, 3 children, and 2 grandchildren.
each child will receive 3 times as much as each grandchild.
the wife will receive 4 times as much as each child.
total estate value is 1115,000.
let x = the amount each grand child will get.
then 3x = the amount each child will get.
then 4 * 3x = 12x = the amount the wife will get.
total amount to be shared is 2 * x + 3 * 3x + 1 * 12x = 2x + 9x + 12x = 23x.
you get 23x = 1115000.
solve for x to get x = 1115000 / 23 = 48478.26087 rounded to the number of decimal places that can be displayed in my calculator.
the internally stored number is more detailed.
each grandchild receives 48478.26087.
each child receives 3 times 48478.26087 = 145434.7826.
the wife receives 4 times 145434.7826 = 581739.1304.
total amount received is 2 * what each grandchild receives plus 3 times what each child receives plus what the wife receives = 1115000.
i know what each person gets doesn't come out even, but that's what i get if i read the problem correctly.
Answer by josgarithmetic(39620)  (Show Source):
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