Respuesta :
Answer: The required number of containers is 12.
Step-by-step explanation: Given that Sophie had [tex]\dfrac{3}{4}[/tex] quart of peanut butter and she divides the Peanut butter into containers that hold [tex]\dfrac{1}{16}[/tex] quart.
We are to find the number of containers that she can fill.
We will be using the UNITARY method to solve the problem.
We have
Number of containers that hold [tex]\dfrac{1}{16}[/tex] quart = 1.
So, the number of containers that hold 1 quart will be
[tex]\dfrac{1}{\frac{1}{16}}=16.[/tex]
Therefore, the number of quarts that hold [tex]\dfrac{3}{4}[/tex] of peanut butter is given by
[tex]16\times\dfrac{3}{4}=12.[/tex]
Thus, the required number of containers is 12.
