Question

Anne's dogs love peanut butter. For dinner, she always mixes a little peanut butter in with their food. For her large dog, Anne adds 4 ounces of peanut butter to 12 ounces of dog food. For her small dog, Anne adds 1 ounce of peanut butter to 5 ounces of dog food. Which dog's meal has a stronger peanut butter flavor?

A. The large dog's meal has a stronger peanut butter flavor.
B. The small dog's meal has a stronger peanut butter flavor.
C. Neither. The meals taste the same.

Answer 1

To determine which dog's meal has a stronger peanut butter flavor, we need to calculate the ratio of peanut butter to the total amount of food (peanut butter + dog food) for each dog.

For the large dog:
- Peanut butter = 4 ounces
- Dog food = 12 ounces
- Total food = 4 ounces + 12 ounces = 16 ounces
- Ratio of peanut butter = \( \frac{4}{16} = \frac{1}{4} = 0.25 \) or 25%

For the small dog:
- Peanut butter = 1 ounce
- Dog food = 5 ounces
- Total food = 1 ounce + 5 ounces = 6 ounces
- Ratio of peanut butter = \( \frac{1}{6} \approx 0.1667 \) or about 16.67%

Now, comparing the two ratios:
- Large dog: 25%
- Small dog: 16.67%

The large dog's meal has a stronger peanut butter flavor because 25% is greater than 16.67%.

Therefore, the answer is:
**A. The large dog's meal has a stronger peanut butter flavor.**