After watching the famous hot dog eating contest at Coney Island this summer, four kids decided to have their own contest to see who could eat the most green beans in five minutes.

Caleb ate an impressive number of beans, but Josh ate eight more than Caleb did. Elsie ate fifteen fewer than twice as many as Caleb did. Sol's total was thirty more than half of Caleb's.

If the children ate a total of 176 beans, what was the finishing order of the contest and how many green beans did the winner eat?