We need 1/2 cup sugar for a cake and 1 3/4 cups sugar. For the icing, How many cups of sugar do we need to make 3 cakes?

3(1/2 + 1 3/4) = 3(2/4 + 7/4) = 3(9/4) = ___

To calculate the total amount of sugar needed to make 3 cakes, we need to add up the amount needed for each individual cake.

For one cake:
- 1/2 cup sugar

Therefore, for 3 cakes, we multiply the amount needed for one cake by 3:

(1/2 cup sugar) x 3 = 3/2 cups sugar

So, you will need 3/2 cups of sugar to make 3 cakes.

To find out how many cups of sugar are needed to make 3 cakes, we first need to calculate the total amount of sugar needed for one cake.

For the cake, we need 1/2 cup of sugar.

For the icing of one cake, we need 1 3/4 cups of sugar.

Now, to calculate the total sugar needed for one cake, we add the amounts of sugar required for the cake and the icing:

1/2 cup + 1 3/4 cups = 2 1/4 cups

So, one cake requires 2 1/4 cups of sugar.

To find out how much sugar is needed for 3 cakes, we multiply the amount of sugar needed for one cake (2 1/4 cups) by 3:

3 * 2 1/4 cups = (3/1) * (2 1/4 cups) = (3 * 2) + (3 * 1/4) = 6 + 3/4

Thus, to make 3 cakes, you will need 6 3/4 cups of sugar for the cake and icing.