Answer :
To find out how many scoops of ice cream Kenny has eaten, follow these steps:
1. Determine the total amount of chocolate syrup used: Kenny used [tex]\(2 \frac{3}{4}\)[/tex] bottles of chocolate syrup. As a first step, let's convert this mixed number into an improper fraction.
- The mixed number [tex]\(2 \frac{3}{4}\)[/tex] can be converted as follows:
[tex]\[
2 \frac{3}{4} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4}
\][/tex]
2. Amount of syrup used per scoop: We know that Kenny uses [tex]\(\frac{1}{16}\)[/tex] of a bottle for each scoop of ice cream.
3. Calculate the total number of scoops: To find out how many scoops Kenny has eaten, divide the total amount of syrup used by the amount of syrup used per scoop:
- Use the improper fraction for total syrup: [tex]\(\frac{11}{4}\)[/tex].
- Divide by the fraction of syrup used per scoop:
[tex]\[
\text{Number of scoops} = \frac{\frac{11}{4}}{\frac{1}{16}} = \frac{11}{4} \times \frac{16}{1} = \frac{11 \times 16}{4 \times 1} = \frac{176}{4} = 44
\][/tex]
Therefore, Kenny has eaten 44 scoops of ice cream.
1. Determine the total amount of chocolate syrup used: Kenny used [tex]\(2 \frac{3}{4}\)[/tex] bottles of chocolate syrup. As a first step, let's convert this mixed number into an improper fraction.
- The mixed number [tex]\(2 \frac{3}{4}\)[/tex] can be converted as follows:
[tex]\[
2 \frac{3}{4} = 2 + \frac{3}{4} = \frac{8}{4} + \frac{3}{4} = \frac{11}{4}
\][/tex]
2. Amount of syrup used per scoop: We know that Kenny uses [tex]\(\frac{1}{16}\)[/tex] of a bottle for each scoop of ice cream.
3. Calculate the total number of scoops: To find out how many scoops Kenny has eaten, divide the total amount of syrup used by the amount of syrup used per scoop:
- Use the improper fraction for total syrup: [tex]\(\frac{11}{4}\)[/tex].
- Divide by the fraction of syrup used per scoop:
[tex]\[
\text{Number of scoops} = \frac{\frac{11}{4}}{\frac{1}{16}} = \frac{11}{4} \times \frac{16}{1} = \frac{11 \times 16}{4 \times 1} = \frac{176}{4} = 44
\][/tex]
Therefore, Kenny has eaten 44 scoops of ice cream.
