Your class has decided to have a bake sale for a fundraiser. Two days before the bake sale your math teacher said she would make 120 cookies if you list the correct amount of each ingredient she will need. Use the recipe below to make this determination.
Peanut Butter Cookies (makes 2 1/2 dozen cookies) 1/2 cup sugar
1/2 cup brown sugar
1/2 cup peanut butter
1/4 cup shortening
1/4 cup butter
1 egg
1 1/4 cups flour
3/4 teaspoon baking soda 1/2 teaspoon baking powder 1/4 teaspoon salt
To make 120 cookies, we need to calculate how much of each ingredient will be required.
One batch of this recipe makes 2 1/2 dozen cookies, which is 30 cookies. So, to make 120 cookies, we need to multiply the quantities of each ingredient by 4.
Here are the amounts of each ingredient needed to make 120 peanut butter cookies:
- 2 cups of white sugar
- 2 cups of brown sugar
- 2 cups of peanut butter
- 1 cup of shortening
- 1 cup of butter
- 4 eggs
- 5 cups of flour
- 3 teaspoons of baking soda
- 2 teaspoons of baking powder
- 1 teaspoon of salt
Make sure to provide this list of ingredients to your math teacher so she can make enough cookies for the bake sale!
To determine the amount of each ingredient your math teacher will need to make 120 cookies, we need to calculate the ratio between the given recipe and the desired quantity.
1. Start by finding the ratio of the desired quantity of cookies (120) to the original quantity of cookies in the recipe (2 1/2 dozen, which is equivalent to 2.5 x 12 = 30 cookies).
Ratio of desired quantity to original quantity = 120 cookies / 30 cookies = 4
2. Multiply each ingredient in the recipe by the ratio calculated in step 1 to get the amount needed for 120 cookies.
- Sugar: 1/2 cup x 4 = 2 cups
- Brown sugar: 1/2 cup x 4 = 2 cups
- Peanut butter: 1/2 cup x 4 = 2 cups
- Shortening: 1/4 cup x 4 = 1 cup
- Butter: 1/4 cup x 4 = 1 cup
- Egg: 1 x 4 = 4
- Flour: 1 1/4 cups x 4 = 5 cups
- Baking soda: 3/4 teaspoon x 4 = 3 teaspoons
- Baking powder: 1/2 teaspoon x 4 = 2 teaspoons
- Salt: 1/4 teaspoon x 4 = 1 teaspoon
Therefore, for the math teacher to make 120 cookies, she will need the following ingredients:
- 2 cups sugar
- 2 cups brown sugar
- 2 cups peanut butter
- 1 cup shortening
- 1 cup butter
- 4 eggs
- 5 cups flour
- 3 teaspoons baking soda
- 2 teaspoons baking powder
- 1 teaspoon salt