Arecipe for cookies call 7 1/2 cups of flour. if the recipe is for 2 dozen cookies, how much flour is needed for 8 dozen cookies

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The recipe for 2 dozen cookies require = 7 1/2 cups of flour.
                                                                 = 15/2 cups of flour
Then
Amount of flour required to make 8 dozen cookies = [15/(2 * 2)] * 8
                                                                                 = (15/4) * 8
                                                                                 = 15 * 2
                                                                                 = 30
So 30 cups of flour are required to make 8 dozen cookies by following the same recipe.