Elizabeth has a secret hiding place where she presently has 35 coins, 38 baseball cards, and 39 pieces of candy. Her younger brother John has his own secret hiding place, but that does not prevent him from taking things from Elizabeth's (her place isn't as secret as she thinks). John always takes two items at a time, each of a different kind so that the number won't decrease too quickly, and he always adds one item of the third kind. On day, some time later, Elizabeth is shocked to find that all the items in her hiding place were of the same kind. Is it possible that it is all candy?