If Quinn has 4 times as many quarters as nickels and they have a combined value of 525 cents, how ma

Discussion in 'Calculator Requests' started by math_celebrity, Oct 1, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    If Quinn has 4 times as many quarters as nickels and they have a combined value of 525 cents, how many of each coin does he have?

    Using q for quarters and n for nickels, and using 525 cents as $5.25, we're given two equations:
    1. q = 4n
    2. 0.25q + 0.05n = 5.25
    Substitute equation (1) into equation (2) for q:
    0.25(4n) + 0.05n = 5.25

    Multiply through and simplify:
    n + 0.05n = 5.25

    To solve this equation for n, we type it in our search engine and we get:
    n = 5

    To get q, we plug in n = 5 into equation (1) above:
    q = 4(5)
    q = 20
     

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