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26 May, 08:31

Julio has $2.75 in his pocket in nickels and dimes. The number of dimes is 10 less than twice the number of nickels. Find the number of each type of coin.

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  1. 26 May, 08:45
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    Answer: Dimes = 20, Nickels = 15

    Step-by-step explanation:

    Since we are looking for the amount of coins, we can use system of equations to solve for the amount of coins.

    Equation 1:

    0.1x+0.05y=2.75

    This equation comes from the total cost. x stands for dimes and y stands for nickels. 0.1 is the worth of a dime and 0.05 is the worth of a nickel.

    Equation 2:

    x=2y-10

    This equation comes from 10 less than twice the number of nickels.

    We can use substitution to find x and y.

    0.1 (2y-10) + 0.05y=2.75

    0.2y-1+0.05y=2.75

    0.25y-1=2.75

    0.25y=3.75

    y=15

    There are 15 nickels.

    Now that we have y, we can plug it back into the equation to find x.

    x=2 (15) - 10

    x=30-10

    x=20

    There are 20 dimes.
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