Question
Last week, Adriana made a batch of peanut butter ice cream from scratch. She used 2 cups of peanut butter and 6 cups of cream. It was so good that she made another batch this week. This time, she used 3 cups of peanut butter and 9 cups of cream. Which batch had a stronger peanut butter flavor?
Answers
GPT-4o mini
To determine which batch had a stronger peanut butter flavor, we can find the ratio of peanut butter to cream for each batch.
For the first batch:
- Peanut butter: 2 cups
- Cream: 6 cups
The ratio of peanut butter to cream for the first batch is:
\[
\text{Ratio} = \frac{2 \text{ cups peanut butter}}{6 \text{ cups cream}} = \frac{1}{3} \text{ (or 1 part peanut butter to 3 parts cream)}
\]
For the second batch:
- Peanut butter: 3 cups
- Cream: 9 cups
The ratio of peanut butter to cream for the second batch is:
\[
\text{Ratio} = \frac{3 \text{ cups peanut butter}}{9 \text{ cups cream}} = \frac{1}{3} \text{ (or 1 part peanut butter to 3 parts cream)}
\]
Comparing the two ratios, we find that both batches have the same ratio of 1:3. Therefore, neither batch has a stronger peanut butter flavor; they both have the same intensity of peanut butter flavor.
For the first batch:
- Peanut butter: 2 cups
- Cream: 6 cups
The ratio of peanut butter to cream for the first batch is:
\[
\text{Ratio} = \frac{2 \text{ cups peanut butter}}{6 \text{ cups cream}} = \frac{1}{3} \text{ (or 1 part peanut butter to 3 parts cream)}
\]
For the second batch:
- Peanut butter: 3 cups
- Cream: 9 cups
The ratio of peanut butter to cream for the second batch is:
\[
\text{Ratio} = \frac{3 \text{ cups peanut butter}}{9 \text{ cups cream}} = \frac{1}{3} \text{ (or 1 part peanut butter to 3 parts cream)}
\]
Comparing the two ratios, we find that both batches have the same ratio of 1:3. Therefore, neither batch has a stronger peanut butter flavor; they both have the same intensity of peanut butter flavor.