Kenny uses 1/16 of the chocolate syrup bottle for every scoop of ice cream that he eats . How many scoops of ice cream has Kenny eaten if he has used 2 3/4 bottles of chocolate syrup?

Respuesta :

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.