2 cups of sugar is needed for 12 cupcakes. How many cups of sugar for 4 cupcakes?

I can figure out how many for 24 cupcakes and 6 cupcakes but not the 4 or 9 cupcakes.

4 is 1/3 of 12.

1/3 * 2 = ?

To figure out how many cups of sugar are needed for 4 cupcakes, we can use proportions.

First, let's set up a proportion to relate the number of cupcakes to the amount of sugar needed:

12 cupcakes = 2 cups of sugar

Now, we need to find the equivalent ratio for 4 cupcakes. We can do this by setting up a second proportion with the given information:

12 cupcakes = 2 cups of sugar
4 cupcakes = ? cups of sugar

To solve for "?", we can cross-multiply and then divide:

(4 cupcakes × 2 cups of sugar) = (12 cupcakes × ? cups of sugar)

8 cups of sugar = 12 cups of sugar × ?
8 cups of sugar / 12 cups of sugar = ?

Now, divide both sides of the equation by 12 to solve for "?":

8/12 = ?
0.67 cups of sugar = ?

Therefore, you will need approximately 0.67 cups of sugar for 4 cupcakes.

Using the same method, we can find that for 9 cupcakes, you will need approximately 1.5 cups of sugar.