The weight of the banana with the peel is 5 ounces.
Explanation
Suppose, weight of the banana with the peel is [tex]x[/tex] ounce.
As the banana peel weighs [tex]\frac{1}{6}[/tex] of the total weight of a banana, so the weight of the peel [tex]= \frac{x}{6}[/tex] ounce and the weight of a peeled banana [tex]=(x-\frac{x}{6})=\frac{5x}{6}[/tex] ounce.
Given that, an unpeeled banana balances a peeled banana of the same weight, plus [tex]\frac{5}{6}[/tex] of an ounce. So the equation will be......
[tex]x=\frac{5x}{6}+\frac{5}{6} \\ \\ x-\frac{5x}{6}=\frac{5}{6}\\ \\ \frac{6x-5x}{6}= \frac{5}{6}\\ \\\frac{x}{6} =\frac{5}{6}\\ \\ x=5[/tex]
So, the weight of the banana with the peel is 5 ounces.
