Question

A cookie recipe that makes 24 cookies calls for the following ingredients: 23 C. flour 4 C. sugar 3 C. butter 4. 11 34 t. baking powder 1 egg 15 t. vanilla extract 2 Amy is hosting a party and will have a total of 16 people in attendance, including herself. She wants to make one large batch of cookies to accommodate everyone. If each person will eat three cookies, what are the new amounts that Amy must measure for each ingredient?

Answer 1

Since each person wants to eat three cookies Amy needs to make a total of:

16*3 = 48 cookies

The original recipe is for 24 cookies and she needs to prepare 48, we can find a factor between these two numbers to multiply by each ingredient, like this:

48/24 = 2

Then she has to double each ingredient (multiply by 2 from the original recipe), then we get:

2 3/4 * 2 = (2*4+3)/4 * 2 = 11/2 = (10 + 1)/2 = 10/2 + 1/2 = 5+ 1/2 = 5 1/2

Then she needs 5 1/2 C. of lour

1 1/3 * 2 = (1*3 + 1) / 3 * 2 = 4/3 * 2 = 8/3 = (6 + 2) /3 = 2 + 2/3 = 2 2/3

Then, she needs 2 2/3 C. of sugar

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

Then, she needs 6C. pf butter

1 * 2 = 2

Then, she needs 2 eggs

3 1/2 *2 = (3*2 + 1) / 2 *2 = (6+1)/2 *2 = 7/2 * 2 = 7

Then, she needs 7t. of baking powder

1 1/2* 2 = (1*2 + 1)/2 * 2 = 3/2 * 2 = 3

Then, she needs 3 t of vanilla extract