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29 March, 15:50

Charlotte has a total of 23 nickels and dimes worth $1.85. How many of each type of coin does she have

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Answers (2)
  1. 29 March, 16:11
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    Are you serious? really dude?
  2. 29 March, 16:16
    0
    Charlotte has a total of 23 nickels and dimes worth $1.85.

    Let us assume

    Number of nickels = n

    Number of dimes = d

    Total number of coins = 23

    so n + d = 23

    Now nickels and dimes worth $1.85.

    We know that 1 nickel = 5 cents and 1 dime = 10 cents

    convert $1.85 in to cents. $1.85 = 185 cents

    5 n + 10 d = 185

    Now we solve both the equations

    n + d = 23 = > n = 23-d

    Replace n with 23-d in the second equation

    5 (23 - d) + 10 d = 185

    115 - 5d + 10 d = 185

    Add like terms

    115 + 5d = 185

    Subtract 115 from both sides

    5d = 70

    Divide both sides by 5

    so d = 14

    n = 23 - d

    Replace 14 for d

    n = 23 - 14 = 9

    The number of nickels = 9

    Number of dimes = 14
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