2 times as many dimes as quarters and they have a combined value of 180 cents, how many of each coin

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

  1. math_celebrity

    math_celebrity Administrator Staff Member

    2 times as many dimes as quarters and they have a combined value of 180 cents, how many of each coin does he have?

    Let d be the number of dimes. Let q be the number of quarters. We're given two equations:
    1. d = 2q
    2. 0.1d + 0.25q = 180
    Substitute (1) into (2):
    0.1(2q) + 0.25q = 180
    0.2q + 0.25q = 180

    Typing this equation into the search engine, we get:
    q = 400

    Now substitute q = 400 into equation 1:
    d = 2(400)
    d = 800
     

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