Denise used 1/6

of a bottle of conditioner on her cat Peaches, and 1/3
of what was left on her cat Butter. How much of the bottle of conditioner did she use on Butter?(1 point)
Responses

1/2
1 half

1/18
1 over 18

1/3
1 third

5/18

1 answer

To determine how much of the bottle of conditioner Denise used on Butter, we can break the problem down into steps.

  1. Amount of conditioner used on Peaches:

    • Denise used \( \frac{1}{6} \) of the bottle on Peaches.
  2. Amount of conditioner left after using it on Peaches:

    • The amount left in the bottle after using \( \frac{1}{6} \) of it is: \[ 1 - \frac{1}{6} = \frac{6}{6} - \frac{1}{6} = \frac{5}{6} \]
  3. 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.