A recipe that makes 5 dozen cookies uses 2 cups of sugar. How many cups of sugar would be needed to make 7 1/2 dozen cookies?
5/7.5 = 2/x
solve for x to find the number of cups of sugar
Mano is making 12 dozen cookies. Each dozen requires 3/5 cup of flour. How many total cups of flour does Maro use?
12 dozen cookies. Each dozen requires 3/5 cup of flour. How many total cups of flour do we need
To find out how many cups of sugar would be needed to make 7 1/2 dozen cookies, we can set up a proportion by comparing the number of cookies to the amount of sugar.
First, let's calculate how many cookies are in 7 1/2 dozen. One dozen is equal to 12 cookies, so 7 1/2 dozen would be 7.5 * 12 = 90 cookies.
Next, we can set up a proportion: 5 dozen cookies is to 2 cups of sugar as 90 cookies is to x cups of sugar.
The proportion can be written as (5/2) = (90/x).
To solve for x, we can cross-multiply and then divide: 5x = 2 * 90.
Multiply 2 by 90 to get 180: 5x = 180.
Now, divide 180 by 5 to find the value of x: x = 180 ÷ 5 = 36.
Therefore, to make 7 1/2 dozen cookies (or 90 cookies), you would need 36 cups of sugar.