Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how

Discussion in 'Calculator Requests' started by math_celebrity, Jun 5, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Sam has $2.25 in quarters and dimes, and the total number of coins is 12. How many quarters and how many dimes?

    Let d be the number of dimes. Let q be the number of quarters. We're given two equations:
    1. 0.1d + 0.25q = 2.25
    2. d + q = 12
    We have a simultaneous system of equations. We can solve this 3 ways:
    No matter which method we choose, we get the same answer:
    • d = 5
    • q = 7
     

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