Howie and Steve are making cookies for themselves and some friends. The recipe are using will make 48 cookies, but they only want to make 16 cookies. They have no trouble reducing the amounts of flour and sugar, but the original recipe for 134 cups of butter. Help Howie and Steve determine how butter they will need
since they are making 16 = 1/3 * 48 cookies, they will use
1/3 * 134 = 42 2/3 cups of butter
To determine how much butter Howie and Steve will need for 16 cookies, we need to find the ratio between the original recipe and the desired batch size.
The original recipe makes 48 cookies and calls for 134 cups of butter. Let's calculate the ratio of cookies to butter.
Ratio of cookies to butter = Number of cookies / Amount of butter
Ratio of cookies to butter = 48 cookies / 134 cups of butter
Now, we can use this ratio to find out how much butter is needed for 16 cookies.
Amount of butter for 16 cookies = Ratio of cookies to butter * Number of cookies
Amount of butter for 16 cookies = (48 cookies / 134 cups of butter) * 16 cookies
Simplifying the equation:
Amount of butter for 16 cookies = (48 * 16) / 134 cups of butter
Amount of butter for 16 cookies = 768 / 134 cups of butter
Rounding it to two decimal places, Howie and Steve will need approximately 5.73 cups of butter for 16 cookies.