Box of Chocolates Math Stumper (Solution Next)

A decadent box of chocolates adorned the kitchen counter. When Jake saw it, he ate 1/6 of the box. Then along came Joe and he ate 1/5 of what Jake left. Along came Jill who ate 1/4 of the chocolates that remained. Later that day, Jeff ate 1/3 of the remaining chocolates. By the time I got there, I managed to eat 1/2 of what remained. When my sister Sandy came along, only 4 chocolates remained in the box.

Just how many chocolates did Jake manage to eat? Solution on next page.