6. Lily bottles $$ 4 \frac{1}{8} $$ quarts of barbecue sauce. Then, she bottles another $$ 5 \frac{7}{8} $$ quarts of barbecue sauce. How many 1 -cup servings of barbecue sauce does she have in bottles?

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UpStudy AI · Accepted Answer

1. Convert the mixed numbers to improper fractions:
   - $$ 4 \frac{1}{8} = \frac{(4 \times 8) + 1}{8} = \frac{33}{8} $$
   - $$ 5 \frac{7}{8} = \frac{(5 \times 8) + 7}{8} = \frac{47}{8} $$

2. Add the fractions:
   $$
   \frac{33}{8} + \frac{47}{8} = \frac{33 + 47}{8} = \frac{80}{8} = 10 \text{ quarts}
   $$

3. Convert quarts to cups (since $$1 \text{ quart} = 4 \text{ cups}$$):
   $$
   10 \text{ quarts} \times 4 \frac{\text{cups}}{\text{quart}} = 40 \text{ cups}
   $$

4. Therefore, the number of 1-cup servings is:
   $$
   \boxed{40}
   $$
Lily has 40 one-cup servings of barbecue sauce in total.

6. Lily bottles \( 4 \frac{1}{8} \) quarts of barbecue sauce. Then, she bottles another \( 5 \frac{7}{8} \) quarts of barbecue sauce. How many 1 -cup servings of barbecue sauce does she have in bottles?

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