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Mrs. Boyd has a desk full of quarters and nickels. If she has a total of 31 coins with a total face value of $4.55, how many of the coins are nickels?

  • Algebra -

    q = # of quarters
    n = # of nickels

    q + n = 31 coins

    Now, you need the value of the coins:

    .25q + .05n =4.55

    I would multiply by 100 to get rid of the decimals

    25q + 5n = 455
    q + n + 31

    (multiply this equation by negative 5 and add.)

    You will solve for quarters and then you can find nickels

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