Question

Kiera and her brother, Desmond, are making trail mix to bring on their family's camping trip. Kiera uses 2 cups of raisins and 5 cups of nuts in her trail mix. Desmond uses 3 cups of raisins and 6 cups of nuts in his trail mix. Whose trail mix has a lower ratio of raisins to nuts?
Answered by GPT-4o mini
To find out whose trail mix has a lower ratio of raisins to nuts, we need to calculate the ratio for both Kiera and Desmond.

1. **Kiera's Trail Mix:**
- Raisins: 2 cups
- Nuts: 5 cups
- Ratio of raisins to nuts = \( \frac{\text{Raisins}}{\text{Nuts}} = \frac{2}{5} \)

2. **Desmond's Trail Mix:**
- Raisins: 3 cups
- Nuts: 6 cups
- Ratio of raisins to nuts = \( \frac{\text{Raisins}}{\text{Nuts}} = \frac{3}{6} = \frac{1}{2} \)

Now, let's compare the two ratios:

- Kiera's ratio: \( \frac{2}{5} = 0.4 \)
- Desmond's ratio: \( \frac{1}{2} = 0.5 \)

Since \( 0.4 < 0.5 \), Kiera's trail mix has a lower ratio of raisins to nuts.

**Conclusion:** Kiera's trail mix has a lower ratio of raisins to nuts.
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