Respuesta :
Answer:
15 guests.
Step-by-step explanation:
We have been given that Carly purchase 9 and 1/2 pints of ice cream for a party. Each guest will be served exactly 3/5 pint of ice cream.
To find the greatest number of guests that could be served the ice-cream, we will divide total amount of ice-cream by 3/5.
[tex]9\frac{1}{2}=\frac{9\times 2+1}{2}=\frac{19}{2}[/tex]
[tex]\text{The greatest number of guests that Carly can serve}=\frac{19}{2}\div\frac{3}{5}[/tex]
Now, we will convert division of fraction into multiplication by flipping the 2nd fraction as:
[tex]\text{The greatest number of guests that Carly can serve}=\frac{19}{2}\times\frac{5}{3}[/tex]
[tex]\text{The greatest number of guests that Carly can serve}=\frac{19\times 5}{2\times3}[/tex]
[tex]\text{The greatest number of guests that Carly can serve}=\frac{95}{6}[/tex]
[tex]\text{The greatest number of guests that Carly can serve}=15.833[/tex]
Since we cannot serve to 0.833 of a person, therefore, the greatest number of guests that Carly can serve would be 15.
