The weirdest thing! We have a tree here in Florida with limes growing on it. A lime tree, right? Well I picked a fruit the size of a grapefruit off the same tree and it looks and tastes just like a pink grapefruit. I asked my fellow Master Gardeners on Cape Cod in Massachusetts if there is such a tree that grows limes and grapefruit on the same tree. YES, there is. It is called a Fruit Cocktail tree and it is a grafted tree with several citrus fruits on the same tree. What Fun!