When you go in to wrap a present, select either food or item, whichever you want. Then select the item you want to delete. It will ask if you want to wrap it. Then press the A button and it will say trash will a little trash can. Then press B and that item will be deleted. Hope I helped!
Go to "present" under the book menu, and go to an item you wish to delete. Press B, and then A. An option that says "Trash?" will come up, and then "Sure?". Select "Yes", and that item will be deleted.