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Math

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The value of 25 coins, consisting of dimes and quarters, is $ 3.55. How many dimes are in the collection?

  • Math -

    18 dimes = 1.80
    7 qtrs = 1.75
    Total = the $3.55

    Can you work it backwards, as I have no idea how to set an equation. It was instinct for me to see that initially I had to break the 55-cents down and then work with the $3.00.

    I'm sorry I can't help with setting the equation. JJ

  • Math -

    Total number of coins = 25
    Number of dimes = x
    Number of quarters = 25 - x
    Value of 1 dime = .10
    Value of 1 quarter = .25
    Total value of coins = $3.55

    The equation:

    .10(x) + .25(25 - x) = 3.55
    .10x + 6.25 - .25x = 3.55
    -.15x + 6.25 = 3.55
    -.15x = -2.7
    x = 18 dimes
    25 - x = 25 - 18 = 7 quarters

  • Math -

    Ok thanks

  • Math -

    34.67

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