Question

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?​

Answer 1

360 and 60.

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.