Answer :
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.
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.
