Three people: Alan, Betty, Carol
Alan has 9 shares.
Betty has 10 shares.
Carol has 11 shares.
Therefore, there are a total of 9 + 10 + 11 = 30 shares.
Since the profit is $67,500, let's divide this one by the total number of shares.
[tex]\text{Profit per share}=\frac{67,500}{30}=2,250[/tex]The profit per share is $2,250.
Since Alan has 9 shares, let's multiply $2,250 to 9.
[tex]\text{Alan's share}=2,250\times9=20,250[/tex]Therefore, Alan's share must be $20,250.
Let's do the same with Betty and Carol.
[tex]\text{Betty's share}=2,250\times10=22,500[/tex][tex]\text{Carol's share}=2,250\times11=24,750[/tex]To summarize, Alan will receive $20,250, Betty will receive $22,500, and Carol will receive $24,750 from the proft