To determine how much of the bottle of conditioner Denise used on Butter, we can break the problem down into steps.
-
Amount of conditioner used on Peaches:
- Denise used \( \frac{1}{6} \) of the bottle on Peaches.
-
Amount of conditioner left after using it on Peaches:
- The amount left in the bottle after using \( \frac{1}{6} \) of it is: \[ 1 - \frac{1}{6} = \frac{6}{6} - \frac{1}{6} = \frac{5}{6} \]
-
Amount used on Butter:
- Denise then used \( \frac{1}{3} \) of what was left on Butter.
- To find out how much is \( \frac{1}{3} \) of \( \frac{5}{6} \): \[ \frac{1}{3} \times \frac{5}{6} = \frac{5}{18} \]
So, Denise used \( \frac{5}{18} \) of the bottle of conditioner on Butter.
The correct answer is 5/18.