Final answer:
If 24 cups of flour are used, 48 cups of sugar should be used.
Step-by-step explanation:
To find the number of cups of sugar needed if 24 cups of flour are used, we can set up a proportion using the ratio of cups of flour to cups of sugar in the original recipe. Since 6 cups of flour are mixed with 12 cups of sugar, we can write the proportion as:
6 cups of flour / 12 cups of sugar = 24 cups of flour / x cups of sugar
Cross-multiply and solve for x:
6x = 12 * 24
6x = 288
x = 48
Therefore, 48 cups of sugar should be used if 24 cups of flour are used.