To determine the amount of sugar needed when using 6 cups of flour with a ratio of 2 cups of flour to 3 cups of sugar, you can set up a proportion:
2 cups of flour / 3 cups of sugar = 6 cups of flour / x cups of sugar
Cross-multiplying, we get:
2 cups of flour * x cups of sugar = 3 cups of sugar * 6 cups of flour
2x = 3 * 6
2x = 18
x = 18 / 2
x = 9
Therefore, when using 6 cups of flour, you would need 9 cups of sugar to maintain the ratio of 2 cups of flour to 3 cups of sugar.