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

1/18
1 over 18

5/18
5 over 18

1/3
1 third

1/2

1 answer

To determine how much conditioner Denise used on Butter, let's break down the problem step by step.

  1. Denise started with a full bottle of conditioner, which we can represent as 1 (or 6/6).
  2. She used \( \frac{1}{6} \) of the bottle on Peaches.
    • After using \( \frac{1}{6} \), the amount left is: \[ 1 - \frac{1}{6} = \frac{6}{6} - \frac{1}{6} = \frac{5}{6} \]
  3. Now, Denise used \( \frac{1}{3} \) of what was left (which is \( \frac{5}{6} \)) on Butter. To find this amount, we calculate: \[ \frac{1}{3} \times \frac{5}{6} = \frac{5}{18} \]

Thus, the amount of conditioner that Denise used on Butter is \( \frac{5}{18} \).

The correct response is 5/18.