Question

A banana peel weighs one sixth of the total weight of a banana. If an unpeeled banana balances a peeled banana of the same​ weight, plus five sixths of an​ ounce, how much does the banana weigh with the​ peel?

Answer 1

The weight of the banana with the peel is 5 ounces.

Step-by-step explanation

Suppose, weight of the banana with the​ peel is
`x` ounce.

As the banana peel weighs
`(1)/(6)` of the total weight of a banana, so the weight of the peel
`= (x)/(6)` ounce and the weight of a peeled banana
`=(x-(x)/(6))=(5x)/(6)` ounce.

Given that, an unpeeled banana balances a peeled banana of the same​ weight, plus
`(5)/(6)` of an​ ounce. So the equation will be......

`x=(5x)/(6)+(5)/(6) \\ \\ x-(5x)/(6)=(5)/(6)\\ \\ (6x-5x)/(6)= (5)/(6)\\ \\(x)/(6) =(5)/(6)\\ \\ x=5`

So, the weight of the banana with the peel is 5 ounces.