algebra
posted by norbert .
a banana peel weighs 1/8 the total weight of a banana. if an unpeeled banana balances a peeled banana of the same weight plus 7/8 of an ounce, how much does the banana weight with the peel?

Are you sure you don't mean that the unpeeled banana PLUS 7/8 oz. equals the weight of the unpeeled banana?
The problem does not make sense to me as stated. I assume that both bananas weighed the same before peeling. That is not made clear.
Let x be the banana's weight, in ounces.
7x/8 is the weight of the unpeeled banana.
Solve this equation:
7x/8 + 7/8 = x