Final answer:
Mrs. Richard needs 51 cups of flour to make a dozen cakes, calculated by first determining the amount of flour per cake and then multiplying by the number of cakes in a dozen.
Step-by-step explanation:
To solve the question of how many cups of flour Mrs. Richard needs to make a dozen cakes when she uses 75 ¼ cups of flour to make 1½ dozen cakes, we need to perform a proportion calculation. First, let's find out how many cups are used per cake by dividing the total amount of flour by the number of cakes made:
- 75 ¼ cups ÷ 18 cakes = 4 ⅛ cups per cake
Now, we need to calculate the flour needed for a dozen cakes:
- 4 ⅛ cups per cake × 12 cakes = 51 cups
Therefore, Mrs. Richard needs 51 cups of flour to make a dozen cakes.