Final answer:
The total amount of lemonade is divided by the amount per person, after converting the mixed number to an improper fraction. Upon dividing 27/4 cups by 3/4 cups, it is determined that 9 people can be served. Therefore, 9 people are at the picnic.
Step-by-step explanation:
To determine how many people are at the picnic, divide the total amount of lemonade by the amount each person gets. In this scenario, there are 6 3/4 cups of lemonade and each person gets 3/4 cup. Convert the mixed number to an improper fraction to make the division easier.
- First, convert 6 3/4 cups to an improper fraction: 6 3/4 = (6×4 + 3)/4 = (24 + 3)/4 = 27/4 cups.
- Now divide 27/4 cups by 3/4 cups per person: (27/4) ÷ (3/4) = (27/4) × (4/3) = 27/3.Cancel out the common factor of 3.
- After cancelling out the 3, you're left with 9, which means 9 people can be served with the available lemonade.
So, the correct answer is B. 9 people at the picnic.
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