Final answer:
To serve twice as many cookies, double the quantities of all the ingredients. To serve half as many cookies, halve the quantities of all the ingredients. When rewriting the ingredients as decimals, divide the cups by 4. The cost of butter needed depends on the recipe choice, and the 24-ounce package is a better buy. The unit price of the cookies is $0.40, and you need to sell 300 cookies to earn $120.
Step-by-step explanation:
To serve twice as many cookies, we need to double the quantities of all the ingredients listed. Here is the revised ingredient list:
3 cups unsalted butter
2 ½ cups granulated sugar
2 ½ cups brown sugar
4 teaspoons vanilla
4 eggs
7 cups all-purpose flour
4 teaspoons baking soda
8 cups semi-sweet chocolate chips
To serve half as many cookies, we need to halve the quantities of all the ingredients listed. Here is the revised ingredient list:
¾ cup unsalted butter
5/8 cup granulated sugar
5/8 cup brown sugar
1 teaspoon vanilla
1 egg
1 ¾ cups all-purpose flour
1 teaspoon baking soda
2 cups semi-sweet chocolate chips
When rewriting the ingredients as decimals, simply divide the cups by 4 to convert to decimals:
0.375 cups unsalted butter
0.31 cups granulated sugar
0.31 cups brown sugar
0.5 teaspoon vanilla
0.5 egg
0.875 cups all-purpose flour
0.5 teaspoon baking soda
1 cup semi-sweet chocolate chips
a) In the cookie recipe, we need 1 ½ cups of unsalted butter. Since there are 8 ounces in one cup, we need 12 ounces of unsalted butter.
b) To determine which package of unsalted butter is cheaper, we need to calculate the cost per ounce. For the 16-ounce package, the cost per ounce is $2.99 / 16 = $0.1869. For the 24-ounce package, the cost per ounce is $4.18 / 24 = $0.1742. Therefore, the 24-ounce package of unsalted butter is the better buy.