Sure, let's go through the step-by-step solution to find out how much punch Peter has made by mixing different drinks.
1. Convert the mixed fractions to improper fractions:
- For the orange juice:
[tex]\(4 \frac{1}{4} = 4 + \frac{1}{4} = 4.25\)[/tex]
- For the ginger ale:
[tex]\(2 \frac{1}{4} = 2 + \frac{1}{4} = 2.25\)[/tex]
- For the strawberry lemonade:
[tex]\(6 \frac{1}{5} = 6 + \frac{1}{5} = 6.2\)[/tex]
2. Next, add up all these values to find the total amount of punch:
- Total punch = [tex]\(4.25 + 2.25 + 6.2 = 12.7\)[/tex]
The total amount of punch Peter has made is 12.7 cups.
Let's compare this to the options given:
- [tex]\(12 \frac{1}{6}\)[/tex] = approximately 12.1667, not the correct amount
- [tex]\(12 \frac{3}{11}\)[/tex] = approximately 12.2727, not the correct amount
- 132, which is way too high and unrealistic in the context
- [tex]\(12 \frac{1}{4}\)[/tex] = 12.25, which is not the correct amount
Thus, none of the provided options exactly match the amount of punch Peter has made, which is 12.7 cups.
