According to Dori's favorite cupcake recipe, for every 1/2 cup of flour, she needs 1/4 cup of sugar. If Dori will be using 6 cups of flour, let's determine how much sugar she should use.
To find the amount of sugar needed, we can set up a proportion based on the ratio of flour to sugar:
(1/2 cup flour) / (1/4 cup sugar) = (6 cups flour) / (x cups sugar)
To solve for x (the amount of sugar), we can cross multiply and then divide:
(1/2) / (1/4) = 6 / x
Simplifying the left side of the equation:
(1/2) * (4/1) = 6 / x
2 = 6 / x
Now, to isolate x, we can divide both sides of the equation by 2:
2 / 2 = (6 / x) / 2
1 = 3 / x
To solve for x, we can cross multiply again:
1 * x = 3 * 1
x = 3
Therefore, Dori should use 3 cups of sugar when using 6 cups of flour in her cupcake recipe.