The ratio of butter:flour:sugar in a recipe is 1:6:4. When using 8 cups of sugar in this recipe, how many total cups of these three ingredients will be used?
I need to find out how many cups of butter and flour I need for 8 cups of sugar, and then add them all up to get the total. To do that, I can use the given ratio and scale it up or down as needed. I notice that the ratio of sugar to butter is 4:1, so if I have 8 cups of sugar, that means I need 8/4 = 2 cups of butter. Similarly, the ratio of sugar to flour is 4:6, so if I have 8 cups of sugar, that means I need 8 * 6/4 = 12 cups of flour. Therefore, the total amount of ingredients I need is 2 + 12 + 8 = 22 cups. 