To determine the greatest number of guests Carly can serve with her 9.5 pints of ice cream, we need to follow these steps:
1. Convert Mixed Number to Fraction (if necessary):
- Carly has [tex]\(9 \frac{1}{2}\)[/tex] pints of ice cream.
- Convert [tex]\(9 \frac{1}{2}\)[/tex] to an improper fraction:
[tex]\[
9 \frac{1}{2} = 9 + \frac{1}{2} = \frac{18}{2} + \frac{1}{2} = \frac{19}{2}
\][/tex]
However, since the problem can also use decimal notation directly,
[tex]\[
9 \frac{1}{2} = 9.5
\][/tex]
2. Determine the amount of ice cream each guest receives:
- Each guest receives [tex]\(\frac{3}{5}\)[/tex] of a pint of ice cream.
3. Convert the Fraction to a Decimal (if necessary):
- [tex]\(\frac{3}{5} = 0.6\)[/tex]
4. Divide the Total Amount of Ice Cream by the Amount per Guest:
- Total ice cream Carly has: [tex]\(9.5\)[/tex] pints.
- Amount of ice cream per guest: [tex]\(0.6\)[/tex] pints.
- Determine the number of guests Carly can serve by dividing the total amount by the amount per guest:
[tex]\[
\text{number of guests} = \frac{9.5}{0.6}
\][/tex]
5. Perform the Division:
- [tex]\(\frac{9.5}{0.6} \approx 15.83\)[/tex]
- Since Carly can only serve whole guests and not a fraction of a guest, you need to take the integer part of this value.
6. Conclusion:
- The greatest number of guests Carly can serve is 15.
Therefore, the correct answer is:
C. 15
