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26 August, 02:49

a child is collecting state quarters and new $1 coins. if she has a total of 23 coins, and the number of quarters is 9 more than the number of dollar coins, how many of each type of coins does she have?

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  1. 26 August, 03:12
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    16 state quarters and 7 new $1 coins.

    Step-by-step explanation:

    A child is collecting state quarters and new $1 coins.

    She has a total of 23 coins.

    The number of quarters is 9 more than the number of dollar coins.

    Let the number of dollar coins be x.

    The number of quarters will be x + 9

    x + (x + 9) = 23

    2x + 9 = 23

    2x = 23 - 9 = 14

    2x = 14, x = 7

    So the child has 7 new dollar coins and 7 + 9 = 16 state quarters.
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