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22 April, 07:00

Debi has $1.65 in a collection of dimes and nickels the number of nickels is six more than the number of dimes find the number of each type of coin

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  1. 22 April, 07:48
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    The number of dimes = 9

    The number of nickels = 15

    Step-by-step explanation:

    The total value of all coins = $1.65

    Let us assume the number of dimes = m

    So, the number of nickels = Number of dimes + 6 = m + 6

    Now, 1 dime = $0.1

    So, m dimes = m x ($0.1) = 0.1 m

    Also, 1 nickel = $0.05

    So, (m + 6) nickel = (m+6) x ($0.05) = 0.05 m + 0.3

    ⇒ The value of m dimes + (m+6) nickels

    = 0.1 m + 0.05 m + 0.3 = 0.15 m + 0.3

    Also, the total value of coins is given as: $1.65

    ⇒ 0.15 m + 0.3 = 1.65

    or, 0.15 m = 1.35

    or, m = 1.35/0.15 = 9

    or, m = 9

    Hence, the number of dimes = 9

    And the number of nickels = m + 6 = 9 + 6 = 15
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