Jack has 34 bills and coins in 5’s and 2’s. The total value is $116. How many 5 dollar bills does he

Discussion in 'Calculator Requests' started by math_celebrity, Feb 15, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Jack has 34 bills and coins in 5’s and 2’s. The total value is $116. How many 5 dollar bills does he have?

    Let the number of 5 dollar bills be f. Let the number of 2 dollar bills be t. We're given two equations:
    1. f + t = 34
    2. 5f + 2t = 116
    We have a system of equations, which we can solve 3 ways:
    1. Substitution Method
    2. Elimination Method
    3. Cramer's Rule
    No matter which method we choose, we get the same answers:
    • f = 16
    • t = 18
     

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