Sophie had 3/4 quart of peanut butter. If she divides the Peanut butter into containers that hold 1/16 quart, how many containers can she fill.
Answer: The required number of containers is 12.
Step-by-step explanation: Given that Sophie had \(\dfrac{3}{4}\) quart of peanut butter and she divides the Peanut butter into containers that hold \(\dfrac{1}{16}\) 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 \(\dfrac{1}{16}\) quart = 1.
So, the number of containers that hold 1 quart will be
\(\dfrac{1}{\frac{1}{16}}=16.\)
Therefore, the number of quarts that hold \(\dfrac{3}{4}\) of peanut butter is given by
\(16\times\dfrac{3}{4}=12.\)
Thus, the required number of containers is 12.