If Trish needs 1/4 cup of butter for a dozen cookies, how much does she need for 9 dozen?

To determine how much butter Trish needs for 9 dozen cookies, we start with the information that she requires 1/4 cup of butter for 12 cookies. Since each dozen (or 12 cookies) requires this amount, we can calculate the total needed for 9 dozen (or 108 cookies).

First, it's useful to understand the scaling factor. If Trish needs 1/4 cup for 1 dozen, then for 9 dozen, we multiply the amount of butter needed for 1 dozen by 9. This requires multiplying 1/4 cup by 9:

1/4 cup × 9 = 9/4 cup.

Now, we can convert 9/4 into a more comprehensible measurement. Dividing 9 by 4 gives us 2 with a remainder, which translates to a mixed number of 2 1/4 cups.

Thus, the correct amount of butter Trish needs for 9 dozen cookies is indeed 2 1/4 cups. This calculation clearly demonstrates the relationship between the number of cookies baked and the amount of butter used, confirming that to scale the recipe appropriately, simple multiplication based on the known quantity for 1 dozen can be applied effectively.