To determine if Liz and Larry use the same ratio of brown sugar to flour, we can compare their ratios.
Liz's ratio:
- Brown sugar: 3 cups
- Flour: 8 cups
- Ratio of brown sugar to flour: \( \frac{3}{8} \)
Larry's ratio:
- Brown sugar: 2 cups
- Flour: 5 cups
- Ratio of brown sugar to flour: \( \frac{2}{5} \)
Now, we need to compare \( \frac{3}{8} \) and \( \frac{2}{5} \):
To compare these fractions, we can find a common denominator:
The least common multiple of 8 and 5 is 40.
Now convert the fractions:
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Convert \( \frac{3}{8} \) to have a denominator of 40: \( \frac{3}{8} = \frac{3 \times 5}{8 \times 5} = \frac{15}{40} \)
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Convert \( \frac{2}{5} \) to have a denominator of 40: \( \frac{2}{5} = \frac{2 \times 8}{5 \times 8} = \frac{16}{40} \)
Now we can compare \( \frac{15}{40} \) and \( \frac{16}{40} \):
Since \( 15 \) is not equal to \( 16 \), we conclude that the ratios are different.
Final answer: No, Liz and Larry do not use the same ratio of brown sugar to flour.
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