Ahmad has a jar containing only 5-cent and 20-cent coins. In total there are 31 coins with a total v

Discussion in 'Calculator Requests' started by math_celebrity, May 6, 2020.

  1. math_celebrity

    math_celebrity Administrator Staff Member

    Ahmad has a jar containing only 5-cent and 20-cent coins. In total there are 31 coins with a total value of $3.50. How many of each type of coin does Ahmad have?

    Let the number of 5-cent coins be f.
    Let the number of 20-cent coins be t.

    We're given two equations:
    1. f + t = 31
    2. 0.05f + 0.2t = 3.50
    We can solve this simultaneous system of equations 3 ways:
    No matter which method we choose, we get:
    • f = 18
    • t = 13
     

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