Paula and Jack bought equal-sized bottles of juice. Paula drank 1/8

of her bottle. Jack drank 5/8
of his bottle. How much more juice does Paula have left than Jack?

Find the difference. Use a bar diagram to help if needed.

(1 point)
Responses

3/8
of a bottle

3 8 of a bottle

7/8
of a bottle

7 8 of a bottle

6/8
of a bottle

6 8 of a bottle

4/8
of a bottle

1 answer

To find out how much more juice Paula has left than Jack, let's first determine how much each person drank and how much juice they have left.

  1. Paula's Juice:

    • She drank \( \frac{1}{8} \) of her bottle.
    • Therefore, the amount of juice she has left is: \[ 1 - \frac{1}{8} = \frac{8}{8} - \frac{1}{8} = \frac{7}{8} \]
  2. Jack's Juice:

    • He drank \( \frac{5}{8} \) of his bottle.
    • Therefore, the amount of juice he has left is: \[ 1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8} \]
  3. Finding the Difference:

    • Now, we find out how much more juice Paula has than Jack: \[ \frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2} \]

Since \( \frac{1}{2} \) is not one of the provided options, we can analyze where the inconsistency might arise. However, if we simply listen to the options:

  • Responses:
    • \( \frac{3}{8} \) of a bottle
    • \( \frac{7}{8} \) of a bottle
    • \( \frac{6}{8} \) of a bottle
    • \( \frac{4}{8} \) of a bottle

The closest and most correct answer based on our calculations is not directly matching – in fact, using the options available, the final outcome would subtract \( \frac{3}{8} \) from \( \frac{7}{8} \), confirming the \( \frac{4}{8} \).

Thus:

The difference in juice that Paula has more than Jack is: \[ \frac{4}{8} \text{ of a bottle} \]

So the answer is \( \frac{4}{8} \) of a bottle.