Final answer:
If you are using nine cups of flour, you would use 6 cups of sugar.
Step-by-step explanation:
To determine how many cups of sugar you will use if you are using nine cups of flour, we can create a ratio using the given information. The ratio of sugar to flour is 2 cups of sugar for every 3 cups of flour. We can set up the ratio table as follows:
Flour (cups) Sugar (cups) 3 2 9 x
To solve for 'x' (the cups of sugar), we can use cross-multiplication. 3 times 'x' is equal to 9 times 2. Simplifying, we get 3x = 18. Dividing both sides by 3, we find that x = 6. Therefore, you will use 6 cups of sugar if you are using nine cups of flour.