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Math Help - linear diophantine equ.

  1. #1
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    Post linear diophantine equ.

    find the 5 diff. ways a collection of 100 coins-pennies, dimes, and quarters- can be worth exactly worth $4.99.
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  2. #2
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    Quote Originally Posted by Sally_Math View Post
    find the 5 diff. ways a collection of 100 coins-pennies, dimes, and quarters- can be worth exactly worth $4.99.
    p+d+q=100 and p+10d+25q = 499.
    Thus, 9d + 24q = 399.
    What are the possibilities for d,q then?
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