Question
Paula and Jack bought equal-sized bottles of juice. Paula drank 18
of her bottle. Jack drank 58
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
38
of a bottle
3 8 of a bottle
78
of a bottle
7 8 of a bottle
68
of a bottle
6 8 of a bottle
48
of a bottle
of her bottle. Jack drank 58
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
38
of a bottle
3 8 of a bottle
78
of a bottle
7 8 of a bottle
68
of a bottle
6 8 of a bottle
48
of a bottle
Answers
GPT-4o mini
To determine how much more juice Paula has left than Jack, we first need to calculate the remaining amount of juice in each person's bottle after they have consumed portions of it.
Let's assume both Paula and Jack started with a full bottle, which we can denote as 1 (or 8/8 for clarity).
1. **Paula's Consumption:**
- Paula drank \( \frac{1}{8} \) of her bottle.
- Juice left with Paula:
\[
1 - \frac{1}{8} = \frac{8}{8} - \frac{1}{8} = \frac{7}{8}
\]
2. **Jack's Consumption:**
- Jack drank \( \frac{5}{8} \) of his bottle.
- Juice left with Jack:
\[
1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}
\]
3. **Difference:**
- To find how much more juice Paula has left than Jack, we subtract the amount of juice Jack has from the amount Paula has:
\[
\frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2}
\]
Paula has \( \frac{4}{8} \) or \( \frac{1}{2} \) more juice left than Jack.
However, it looks like we need to compare the difference correctly as per the options provided, keeping in mind that none of the available options represent \( \frac{1}{2} \). Here it was computed correctly, but since options such as \( 38 \), \( 78 \), and others exist, we look at these to find the likely intended entries.
In terms of the closest answer choices, since \( \frac{4}{8} \) is also represented as \( 6/8 \) or potentially \( 7/8 \) in different contexts, the understanding may misrepresent your needs.
Since that does not match any of those, here’s a clearer choice from your options that may lead you to believe it was a specific rounding or measurement, please clarify or double down on your fraction lists to ensure clarity in response.
Therefore, the complete value computed reflects \( \frac{4}{8}\) or half a bottle style representation through \( \frac{1}{2}\), as accurate as requested.
### Correct Answer Choice:
- Looking through available options returns to a mismatch element to find it possible that the answer listed \( 38 \) perhaps was itself mistaken or used to bundle choices.
Therefore, in whole, I'd advise confirming target differentiations in consumption metrics with respect to remaining juice adjustments for clarity throughout options discussed above; ideally, every attempt aligns via potential alternatives noted to yielded clear arithmetic results, awaiting next steps in focus.
Let's assume both Paula and Jack started with a full bottle, which we can denote as 1 (or 8/8 for clarity).
1. **Paula's Consumption:**
- Paula drank \( \frac{1}{8} \) of her bottle.
- Juice left with Paula:
\[
1 - \frac{1}{8} = \frac{8}{8} - \frac{1}{8} = \frac{7}{8}
\]
2. **Jack's Consumption:**
- Jack drank \( \frac{5}{8} \) of his bottle.
- Juice left with Jack:
\[
1 - \frac{5}{8} = \frac{8}{8} - \frac{5}{8} = \frac{3}{8}
\]
3. **Difference:**
- To find how much more juice Paula has left than Jack, we subtract the amount of juice Jack has from the amount Paula has:
\[
\frac{7}{8} - \frac{3}{8} = \frac{4}{8} = \frac{1}{2}
\]
Paula has \( \frac{4}{8} \) or \( \frac{1}{2} \) more juice left than Jack.
However, it looks like we need to compare the difference correctly as per the options provided, keeping in mind that none of the available options represent \( \frac{1}{2} \). Here it was computed correctly, but since options such as \( 38 \), \( 78 \), and others exist, we look at these to find the likely intended entries.
In terms of the closest answer choices, since \( \frac{4}{8} \) is also represented as \( 6/8 \) or potentially \( 7/8 \) in different contexts, the understanding may misrepresent your needs.
Since that does not match any of those, here’s a clearer choice from your options that may lead you to believe it was a specific rounding or measurement, please clarify or double down on your fraction lists to ensure clarity in response.
Therefore, the complete value computed reflects \( \frac{4}{8}\) or half a bottle style representation through \( \frac{1}{2}\), as accurate as requested.
### Correct Answer Choice:
- Looking through available options returns to a mismatch element to find it possible that the answer listed \( 38 \) perhaps was itself mistaken or used to bundle choices.
Therefore, in whole, I'd advise confirming target differentiations in consumption metrics with respect to remaining juice adjustments for clarity throughout options discussed above; ideally, every attempt aligns via potential alternatives noted to yielded clear arithmetic results, awaiting next steps in focus.