### Instruction: The four partners in a business decide to split the profits of their company in the ratio 2:3:3:5. If the profit one year is $\$26,\!000$ what is the largest number of dollars received by any of the four partners?### Response: So the ratio is 2:3:3:5.
That means the first person gets 2/13 of the profits, the second person gets 3/13 of the profits, the third person gets 3/13 of the profits, and the fourth person gets 5/13 of the profits.
And since the profits are $\$26,\!000$ we can multiply $\$26,\!000 \cdot 5/13$ to find the amount of money the fourth person gets.
Which is $\$10,\!000$.