Final answer:
Pauline can make 9 cakes with the 40 cups of flour she has, leaving her with 1.75 cups of flour.
Step-by-step explanation:
To find out how many cakes Pauline can make and how much flour will be left over, we first need to establish how much flour is required for a single cake. Each cake requires 4 and 1/4 cups of flour.
We have 40 cups of flour, divided by 4.25 (4 and 1/4 in decimal form), which equals 9.41. But since we can't make .41 of a cake, Pauline can only make 9 whole cakes.
To find out how much flour remains, multiply the number of cakes by the flour per cake and subtract this from the starting flour. That is, 40 (initial cups of flour) - 9 (cakes) x 4.25 (flour per cake) = 1.75, so Pauline will have 1.75 cups of flour left.
Learn more about Proportional division