Question

Alan, Betty, and Carol invested in a corporation in the ratio of 9:10:11 respectively. If they divide the profit of $67, 500 proportionally to their investment, how much will each receive?

Answer 1

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.

`\text{Profit per share}=(67,500)/(30)=2,250`

The profit per share is $2,250.

Since Alan has 9 shares, let's multiply $2,250 to 9.

`\text{Alan's share}=2,250*9=20,250`

Therefore, Alan's share must be $20,250.

Let's do the same with Betty and Carol.

`\text{Betty's share}=2,250*10=22,500`
`\text{Carol's share}=2,250*11=24,750`

To summarize, Alan will receive $20,250, Betty will receive $22,500, and Carol will receive $24,750 from the proft