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11 December, 11:47

In a recent year, person A and person B had two concert tours, and together they generated $ 192.4 million$192.4 million in ticket sales. If person B took in $21.821.8 million less than person A, how many millions of dollars did each tour generate?

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  1. 11 December, 12:10
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    Person A generated $ 107.1 million

    Person B generated $ 85.3 million

    Explanation:

    Let the income generated by the person A = x

    and the income generated by the person B = y

    Now,

    according to the conditions given in the problem

    x + y = $ 192.4 million ... (1)

    also,

    y = x - $ 21.8 million ... (2)

    substituting the y from 2 in the equation 1, we get

    x + (x - $ 21.8 million) = $ 192.4 million

    or

    2x - $ 21.8 million = $ 192.4 million

    or

    2x = $ 214.2 million

    or

    x = $ 107.1 million

    substituting the x in equation 2, we get

    y = $ 107.1 million - $ 21.8 million

    or

    y = $ 85.3 million

    hence,

    the person A generated $ 107.1 million and the person B generated $ 85.3 million
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