To determine which cereal bar recipe is more nutty, we need to compare the ratio of nuts to cereal for each recipe. Here are the steps broken down:
1. Identify the quantities given in each recipe:
- Recipe 1:
- Cereal: 5 cups
- Nuts: [tex]\(2 \frac{1}{2}\)[/tex] cups (which is equivalent to 2.5 cups).
- Recipe 2:
- Cereal: 3 cups
- Nuts: 1 cup.
2. Calculate the ratio of nuts to cereal for each recipe:
- For Recipe 1:
- The ratio of nuts to cereal is [tex]\( \frac{\text{cups of nuts}}{\text{cups of cereal}} = \frac{2.5}{5} \)[/tex].
- Simplify the fraction: [tex]\( \frac{2.5}{5} = 0.5 \)[/tex].
- For Recipe 2:
- The ratio of nuts to cereal is [tex]\( \frac{\text{cups of nuts}}{\text{cups of cereal}} = \frac{1}{3} \)[/tex].
- Simplify the fraction: [tex]\( \frac{1}{3} \approx 0.333 \)[/tex].
3. Compare the calculated ratios:
- The ratio for Recipe 1 is 0.5.
- The ratio for Recipe 2 is approximately 0.333.
4. Determine which recipe has a higher ratio of nuts to cereal:
- Since 0.5 is greater than 0.333, Recipe 1 has a higher ratio of nuts to cereal.
Therefore, Recipe 1 is more nutty.
