Make up a recipe on your own, one that includes 5–6 ingredients. Once you have created your recipe, write down all the ingredients and the servings or yield. (You do not need to include the recipe instructions.) Then rewrite the ingredients list as it would appear if you were to use only 1/3 of the suggested amounts. Keep in mind that some ingredients may not break down to a fractional portion, such as an egg. However, continue to write down the correct measurement calculated for the sake of the problem. Then, again using the original amounts, rewrite the list if you were to triple all ingredients. Make sure to include the new number of servings or yields with each revised ingredient list, and title your recipe. Could you do this but make a cake please?

Sure! Here's a recipe for a simple vanilla cake:

Recipe Title: Vanilla Cake

Original Ingredients:
- 2 cups all-purpose flour
- 1 ½ cups granulated sugar
- 1 cup unsalted butter, softened
- 4 large eggs
- 1 cup milk
- 1 teaspoon vanilla extract

Original Yield: 1 9-inch cake (approximately 12 servings)

1/3 Amount Ingredients:
- 2/3 cup all-purpose flour
- 1/2 cup granulated sugar
- 1/3 cup unsalted butter, softened
- 1 and 1/3 large eggs (since we can't use fractional eggs, we increase the number of eggs slightly)
- 1/3 cup milk
- 1/3 teaspoon vanilla extract

1/3 Amount Yield: 1 small cake (approximately 4 servings)

Triple Amount Ingredients:
- 6 cups all-purpose flour
- 4 ½ cups granulated sugar
- 3 cups unsalted butter, softened
- 12 large eggs
- 3 cups milk
- 3 teaspoons vanilla extract

Triple Amount Yield: 1 large cake (approximately 36 servings)

Recipe Title: Classic Vanilla Cake

Original Ingredients:
- 2 cups all-purpose flour
- 1 ½ cups granulated sugar
- 3 large eggs
- 1 cup unsalted butter, softened
- 1 cup milk
- 1 tsp vanilla extract

Yield: 1 9-inch cake

1/3 Portion Ingredients:
- 2/3 cup all-purpose flour
- 1/2 cup granulated sugar
- 1 large egg
- 1/3 cup unsalted butter, softened
- 1/3 cup milk
- 1/3 tsp vanilla extract

Yield: 1/3 of a 9-inch cake

Triple Portion Ingredients:
- 6 cups all-purpose flour
- 4 1/2 cups granulated sugar
- 9 large eggs
- 3 cups unsalted butter, softened
- 3 cups milk
- 3 tsp vanilla extract

Yield: 3 9-inch cakes

Could you make it without eggs?

Certainly! Here's an eggless version of the vanilla cake recipe:

Recipe Title: Eggless Vanilla Cake

Original Ingredients:
- 2 cups all-purpose flour
- 1 ½ cups granulated sugar
- 1 cup unsalted butter, softened
- 1 cup milk
- 1 teaspoon vanilla extract

Yield: 1 9-inch cake

1/3 Portion Ingredients:
- 2/3 cup all-purpose flour
- 1/2 cup granulated sugar
- 1/3 cup unsalted butter, softened
- 1/3 cup milk
- 1/3 teaspoon vanilla extract

Yield: 1/3 of a 9-inch cake

Triple Portion Ingredients:
- 6 cups all-purpose flour
- 4 ½ cups granulated sugar
- 3 cups unsalted butter, softened
- 3 cups milk
- 3 teaspoons vanilla extract

Yield: 3 9-inch cakes

Note: In this eggless version, we removed the eggs from the ingredients list. The texture and structure of the cake will be different without eggs, but it can still be delicious!

Sorry to be picky, but could you make it chocolate?

Of course! Here's the revised recipe for an eggless chocolate cake:

Recipe Title: Eggless Chocolate Cake

Original Ingredients:
- 1 ¾ cups all-purpose flour
- 1 ½ cups granulated sugar
- ¾ cup unsweetened cocoa powder
- 1 ½ teaspoons baking powder
- 1 ½ teaspoons baking soda
- 1 teaspoon salt
- 1 cup milk
- ½ cup vegetable oil
- 2 teaspoons vanilla extract
- 1 cup boiling water

Yield: 1 9-inch cake

1/3 Portion Ingredients:
- 9/16 cup all-purpose flour (approximately 1/2 cup + 4 teaspoons)
- 1/2 cup granulated sugar
- 1/4 cup unsweetened cocoa powder
- 1/2 teaspoon baking powder
- 1/2 teaspoon baking soda
- 1/3 teaspoon salt
- 1/3 cup milk
- 2 tablespoons vegetable oil
- 2/3 teaspoon vanilla extract
- 1/3 cup boiling water

Yield: 1/3 of a 9-inch cake

Triple Portion Ingredients:
- 5 1/4 cups all-purpose flour
- 4 1/2 cups granulated sugar
- 2 1/4 cups unsweetened cocoa powder
- 4 1/2 teaspoons baking powder
- 4 1/2 teaspoons baking soda
- 3 teaspoons salt
- 3 cups milk
- 1 1/2 cups vegetable oil
- 6 teaspoons vanilla extract
- 3 cups boiling water

Yield: 3 9-inch cakes

5-6 ingredients

Apologies for the oversight. Here's a simplified version of the eggless chocolate cake with 5-6 ingredients:

Recipe Title: Easy Eggless Chocolate Cake

Original Ingredients:
- 2 cups all-purpose flour
- 1 cup granulated sugar
- 1/2 cup unsweetened cocoa powder
- 1 teaspoon baking soda
- 1/2 teaspoon salt
- 1 and 1/2 cups water or milk

Yield: 1 9-inch cake

1/3 Portion Ingredients:
- 2/3 cup all-purpose flour
- 1/3 cup granulated sugar
- 2 tablespoons unsweetened cocoa powder
- 1/3 teaspoon baking soda
- 1/6 teaspoon salt
- 1/2 cup water or milk

Yield: 1/3 of a 9-inch cake

Triple Portion Ingredients:
- 6 cups all-purpose flour
- 3 cups granulated sugar
- 1 and 1/2 cups unsweetened cocoa powder
- 3 teaspoons baking soda
- 1 and 1/2 teaspoons salt
- 4 and 1/2 cups water or milk

Yield: 3 9-inch cakes

so it is a 9 inch cake?

Yes, that's correct! The recipe yields a 9-inch cake.