Final answer:
To make 5 dozen cookies, Dani will need 6.25 cups of flour, determined by multiplying the amount of flour needed for one batch by the number of batches needed to make 5 dozen cookies.
Step-by-step explanation:
The student's question relates to the amount of flour needed for a larger quantity of cookies based on a given recipe. Dani's recipe for 24 cookies requires 2 1/2 cups of flour. To find out how much flour is needed for 5 dozen (60) cookies, we first determine the number of times the original batch needs to be multiplied to yield 5 dozen cookies. Since one dozen is 12 cookies, 5 dozen is:
5 x 12 = 60 cookies
Now, we need to find out how many times the original recipe (24 cookies) goes into 60 cookies:
60 / 24 = 2.5 times
As the recipe calls for 2 1/2 (or 2.5) cups of flour for 24 cookies, for 2.5 times that amount, we calculate:
2.5 cups of flour x 2.5 = 6.25 cups of flour
Therefore, Dani will need 6.25 cups of flour to make 5 dozen cookies.