The number of guests that will be served ice cream is 26 guests and there will be no ice cream left.
The total number of ice cream purchased by Yasmine at her party is:
[tex]\mathbf{=19 \dfrac{1}{12} \ pints}[/tex]
If each guest gets served with 3/4 pints, then the number of guests that will receive the shared amount of pints is:
[tex]\mathbf{= \dfrac{3}{4} \ pints}[/tex]
∴
The number of guests that can be served ice cream now is:
[tex]\mathbf{= \dfrac{19 \dfrac{1}{12} \ pints}{ \dfrac{3}{4} \ pints}}[/tex]
[tex]\mathbf{= \dfrac{ \dfrac{39}{2} \ pints}{ \dfrac{3}{4} \ pints}}[/tex]
[tex]\mathbf{= { \dfrac{39}{2} }\times { \dfrac{4}{3}}}[/tex]
[tex]\mathbf{= { \dfrac{13}{1} }\times { \dfrac{2}{1}}}[/tex]
= 26 guests
Therefore, we can conclude that the number of guests that will be served ice cream is 26 guests and there will be no ice cream left.
Learn more about fractions here:
https://brainly.com/question/18134643?referrer=searchResults