They can make 16 pillow cases out of the given number of yards
Here, we want to know thw number of pillows of a particular size that could be made from a given size of materials
Mathematically, that would be obtained by dividing the amount of fabric given by the individual sizes of the fabric of each pillow case
Thus, we have;
[tex]\begin{gathered} 12\frac{1}{2}\text{ divided by }\frac{3}{4} \\ \\ =\text{ }\frac{25}{2}\text{ divided by }\frac{3}{4} \\ \\ =\text{ }\frac{25}{2}\text{ }\times\text{ }\frac{4}{3}\text{ = }\frac{50}{3}\text{ = 16 }\frac{2}{3} \end{gathered}[/tex]But since we cannot make a fractional pillow case as each pillow case needs to be completely whole, then the number of pillow cases that could be made is 16