Algebra (Mrs.Sue) thank you :)

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Sal keeps quarters,nickels, and dimes in a jar. He has a total of 52 coins. He has three more quarters than dimes and five fewer nickels than dimes. How many dimes does sal have?

  • Algebra (Mrs.Sue) thank you :) -

    Let no. of dimes = x.
    Then, no. of quarters = x + 3 and no. of nickels = x - 5.
    Total no. of coins = x + (x + 3) + (x - 5).
    This value is equal to 52.
    So, x + (x + 3) + (x - 5) = 52
    or x + x + 3 + x - 5 = 52
    or 3x - 2 = 52
    or 3x = 52 + 2 = 54
    or x = 54/3 = 18

    So Sal have 18 dimes

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