You need 1/2 cup of sugar to make a three-layer cake. How much sugar would you need for a one-layer cake
1/3 * 1/2 = 1/6 cup
You need 1/3 as much
(1/2)/(3/1) = 1/2 x 1/3 = 1/6
As a sidenote, I can assure you that three layer cakes need a lot more sugar than this. I would add from 1 1/3 Cup to 1 1/2 cup, depending on the frosting planned. This is almost three times as much sugar as your math problem. Perhaps your teacher is watching her calories.
To determine the amount of sugar needed for a one-layer cake, we can use the ratio of sugar to cake layers from the given information.
The given information states that you need 1/2 cup of sugar to make a three-layer cake.
To find out the amount of sugar needed for a one-layer cake, we can set up a proportion using the number of layers and the amount of sugar.
Let's express the proportion using the following equation:
1/2 cup of sugar / 3 layers = X cups of sugar / 1 layer
Using cross multiplication, we can rewrite the equation as:
(1/2) * 1 layer = 3 layers * X
Simplifying further:
(1/2) = 3X
Next, we isolate X by dividing both sides of the equation by 3:
(1/2) / 3 = X
Now, we can calculate the amount of sugar needed for a one-layer cake:
X = 1/6 cup of sugar
Therefore, you would need 1/6 cup of sugar for a one-layer cake.