Given that the size of the bags is decreased by 20%.
It means that the quantity of popcorn that can be kept in the new bag will be 20% less than the old bag,
[tex]\begin{gathered} \text{Quantity in new bag=Quantity in old bag-0.20}\times\text{Quantity in old bag} \\ \text{Quantity in new bag=0.80}\times\text{Quantity in old bag} \end{gathered}[/tex]Given that the old bags can hold 15 cups of popcorn.
Substitute the value,
[tex]\begin{gathered} \text{Quantity in new bag=0.80}\times\text{1}5 \\ \text{Quantity in new bag=1}2 \end{gathered}[/tex]Thus, the new bags can hold 12 cups of popcorn.