Kelly and Lelly are two carpenters, they take a contract worth $1008. Kelly, who is more efficient, can finish the job in 6 days, while Lelly can finish it in 12 days. They start working together, but Kelly quits after 2 days. Lelly works alone for 3 days and after that, Kelly is called back and he finishes the remaining work alone. Find the amount that each one gets at the end, assuming that the amount is distributed in the ratio of the amounts of work done by them.

Kelly rate = 1/6, Lelly rate = 1/12. Together = 1/6 + 1/12 = 3/12 = 1/4 per day. In 2 days, they do 2 * 1/4 = 1/2 of work. Remaining = 1/2. Lelly works 3 days alone: 3 * 1/12 = 1/4. Remaining = 1/2 - 1/4 = 1/4. Kelly finishes 1/4 in (1/4) / (1/6) = 1.5 days. Total work by Kelly = 2 + 1.5 = 3.5 days. Total work by Lelly = 2 + 3 = 5 days. Since they work at different rates, we use total work done: Kelly = 3.5 * (1/6) = 3.5/6 = 7/12. Lelly = 5 * (1/12) = 5/12. Ratio 7:5. Kelly gets (7/12) * 1008 = 588. Lelly gets (5/12) * 1008 = 420.