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19 July, 14:35

Christopher has six times as much money as Michael. If Michael earns $80 and Christopher earns $60, Christopher will then have three times as much money as Michael. How much money do Christopher and Michael have before and after earning $60 and $80, respectively?

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  1. 19 July, 17:19
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    360 and 60.

    Step-by-step explanation:

    Let Christopher earns x amount of money and y be money earned by Michael.

    Firstly, Christopher has six times as much money as Michael so,

    x=6y ... (i)

    If Michael earns $80 and Christopher earns $60, Christopher will then have three times as much money as Michael so,

    x+60=3 (y+80)

    From (i),

    6y + 60 = 3 (y+80)

    3 (2y+20) = 3 (y+80)

    2y+20=y+80

    2y-y=80-20

    y=60

    Substituting value of y in equation (i),

    x=6*60=360.

    Therefore, Christopher earned 360 and Michael earned 60.
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