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  1. #1
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    Finance

    A total of 10,000 is to be divided up between Rita and Miguel, with Miguel to receive 2000 dollar less than Rita. How much will each receive?
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  2. #2
    Grand Panjandrum
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    Quote Originally Posted by symmetry View Post
    A total of 10,000 is to be divided up between Rita and Miguel, with Miguel to receive 2000 dollar less than Rita. How much will each receive?
    Let R be what Rita receives, then Miguel gets M, and:

    R+M=10000,
    R-M=2000.

    Now add these equations, to get:

    (R+M)+(R-M)=12000

    or 2R=12000

    so R=6000, and M=4000.

    RonL
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  3. #3
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    Quote Originally Posted by symmetry View Post
    A total of 10,000 is to be divided up between Rita and Miguel, with Miguel to receive 2000 dollar less than Rita. How much will each receive?
    M stands for the amount miguel gets.

    R stands for the amount rita gets.

    You know that: M+R=10000

    You also know that: M=R-2000

    Substitute: (R-2000)+R=10000

    Then: 2R-2000=10000

    So: 2R=12000

    Finally: \boxed{R=6000}
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  4. #4
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    ok

    Thank you for breaking the question into pieces of great information.
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