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21 April, 15:29

Harrison has $9.30 in his coin collection all in pennies and dimes the number of dimes is three times the number of pennies how many coins of each type does she have

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  1. 21 April, 16:00
    0
    Number of Pennies = 30

    Number of Dimes = 90

    Step-by-step explanation:

    Let the number of pennies be p and number of dimes be d

    We can write 2 equations and use substitution method to solve.

    Total value of all the coins is 9.30:

    We can write:

    0.01p + 0.1d = 9.30

    Note: value of penny is 0.01 and dime is 0.1, in dollars

    Number of dimes is 3 times number of pennies:

    We can write:

    d = 3p

    Now putting 2nd equation in first and solving for p:

    0.01p + 0.1 (3p) = 9.30

    0.01p + 0.3p = 9.30

    0.31 p = 9.30

    p = 9.30 / 0.31

    p = 30

    Now we know d = 3p, so d = 3 (30) = 90

    Hence

    Number of Pennies = 30

    Number of Dimes = 90
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