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Math Help - Share the Estate

  1. #1
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    Share the Estate

    An estate valued a $62,000 is left by will as follow: To each of two grandchildren a certain sum, to the son twice as much as the two grandchildren together, and to the widow $2,000 more than to the son and grandchildren together. How much goes to each?
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  2. #2
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    Quote Originally Posted by aznmartinjai View Post
    An estate valued a $62,000 is left by will as follow: To each of two grandchildren a certain sum, to the son twice as much as the two grandchildren together, and to the widow $2,000 more than to the son and grandchildren together. How much goes to each?
    Let's use algebra. both grandchildren together get g amount of money. The son gets s amount of money and the widow gets w

    You know that: g+s+w=62000

    You also know that: s=2g

    Substitute that in: g+2g+w=62000

    obviously: w=2000+s+g

    Substitute: w=2000+2g+g=2000+3g

    So what you get is: g+2g+3g+2000=62000

    Change things around: 6g=60000

    divide by 6: g=10000

    remember that g means the grandchildren put together, separately they get 5000 each.

    Can you figure out the rest?
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  3. #3
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    so each grandchildren gets 5,000, son gets 20,000, widow gets 32,000 right?
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