You are baking chocolate chip cookies. One batch makes 4 dozen big cookies. The recipe calls for 3/4 cup brown sugar. How many cups of brown sugar would you need if you wanted to make 11 dozen cookies.
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To determine how many cups of brown sugar you would need to make 11 dozen cookies, you can follow these steps:
Step 1: Calculate the ratio of brown sugar to the number of cookies in one batch.
One batch makes 4 dozen big cookies, and the recipe calls for 3/4 cup brown sugar.
So, the ratio of brown sugar to cookies is: (3/4 cup) / (4 dozen)
Step 2: Calculate the number of cookies you want to make.
You want to make 11 dozen cookies.
Step 3: Multiply the ratio by the number of cookies needed.
Multiply the ratio from step 1 by the number of cookies needed from step 2:
(3/4 cup) / (4 dozen) x (11 dozen)
Step 4: Simplify the fractions.
First, simplify the number of dozens:
(3/4 cup) / (1) x (11)
= (3/4 cup) x (11)
= 33/4 cup
Step 5: Convert the mixed number to an improper fraction.
33/4 = (8 x 4 + 1) / 4
= 32/4 + 1/4
= 8 + 1/4
= 8 1/4 cups
So, you would need 8 1/4 cups of brown sugar to make 11 dozen chocolate chip cookies.
To find out how many cups of brown sugar you would need to make 11 dozen cookies, we need to use proportionality.
First, let's calculate the number of cups of brown sugar required for 1 dozen cookies. Since 1 batch makes 4 dozen cookies and requires 3/4 cup of brown sugar, we can set up a proportion:
1 batch = 4 dozen
3/4 cup = ?
To find the missing value, we cross-multiply and solve for the unknown value:
(1 batch) x (?) = (4 dozen) x (3/4 cup)
? = (4 dozen x 3/4 cup) / 1 batch
Now, we can calculate the number of cups required for 1 dozen cookies:
? = (4 x 3/4) / 1
? = 12/4
? = 3 cups
So, to make 1 dozen cookies, you would need 3 cups of brown sugar.
Now, we can use this information to determine how many cups of brown sugar you would need to make 11 dozen cookies.
Since 1 dozen cookies requires 3 cups of brown sugar, we can set up another proportion:
1 dozen = 3 cups
11 dozen = ?
To find the missing value, we cross-multiply and solve for the unknown value:
(1 dozen) x (?) = (3 cups) x (11 dozen)
? = (3 cups x 11 dozen) / 1 dozen
Now, we can calculate the number of cups required for 11 dozen cookies:
? = (3 x 11) / 1
? = 33
Therefore, to make 11 dozen cookies, you would need 33 cups of brown sugar.
My Greetings to you Melinda!
To make 11 dozen cookies, you would need to make 2.75 times the recipe.
Therefore, you will need 2.75 times the brown surgar.