A bag of quarters and nickels is worth $8.30. There are two less than three times as many quarters a

Discussion in 'Calculator Requests' started by math_celebrity, May 14, 2021.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    A bag of quarters and nickels is worth $8.30. There are two less than three times as many quarters as nickels. How many of the coins must be quarters?

    Assumptions and givens:
    • Let the number of quarters be q
    • Let the number of nickels be n
    We have two equations:
    1. 0.05n + 0.25q = 8.30
    2. n = 3q - 2 (Two less than Three times)
    Plug in equation (2) into equation (1) for q to solve this system of equations:
    0.05(3q - 2) + 0.25q = 8.30

    To solve this equation for q, we type it in our search engine and we get:
    q = 21
     

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