Answer:
Kenny has eaten 44 ice cream scoops.
Step-by-step explanation:
Given:
Kenny uses [tex]\frac{1}{16}[/tex] of the chocolate syrup bottle for every scoop of ice cream that he eats.
Now, to find the scoops of ice cream Kenny has eaten, If he has used [tex]2\frac{3}{4}[/tex] bottles of chocolate syrup.
So, we use unitary method to find the number of scoops of ice cream:
If, [tex]\frac{1}{16}[/tex] of the chocolate syrup bottle Kenny uses to eat = [tex]1\ ice\ cream\ scoop.[/tex]
Then, 1 of the chocolate syrup bottle Kenny uses to eat [tex]=\frac{1}{\frac{1}{16} } =16\ ice\ cream\ scoops.[/tex]
Thus, [tex]2\frac{3}{4}[/tex] bottles of chocolate syrup bottle Kenny uses to eat = [tex]16\times 2\frac{3}{4}[/tex]
[tex]=16\times \frac{11}{4}[/tex]
[tex]=16\times 2.75[/tex]
[tex]=44\ ice\ cream\ scoops.[/tex]
Therefore, Kenny has eaten 44 ice cream scoops.