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28 May, 06:32

A jar of quarters and dimes contains $20.00. There are 110 coins in all. How many of each are there?

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  1. 28 May, 06:50
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    There are 50 dimes and 110-50 = 60 quarters in the collection.

    Step-by-step explanation:

    Let D be the number of dimes.

    Then the number of quarters is (110-D).

    The "value equation" is

    10D + 25 * (110-D) = 2000.

    Simplify and solve for D:

    10D + 2750 - 25D = 2000,

    -15D = 2000 - 2750,

    -15D = - 750,

    D = %28-750%29%2F%28-15%29 = 50.
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