You will need 6 cups of sugar.
Step - by - Step Explanation
What to find? The number of cups of sugar needed to make a cake with 12 cups of flour.
Given:
Cups of flours = 4
Cups of sugar = 2
Cups of flour =12
Let x be the number of cups of sugar needed to make a cake with 12 cups of flour.
Using proportion;
4 cups of flour = 2 cups of sugar
12 cups of flour = x
Cross - multiply
4x = 24
Divide both-side of the equation by 4
[tex]\frac{\cancel{4}x}{\cancel{4}}=\frac{24}{4}[/tex]x =6
Hence, you will need 6 cups of sugar.