A recipe makes 1 1/2 dozen cookies requires 3/4 cup of sugar. Shanika wants to make 6 dozen cookies. How many cups of sugar will she need?

Shanika is making cookies.

Her recipe calls for 1 cup of sugar for 1.5 dozen cookies. Shanika wants to make 6 dozen cookies.
How many cups of sugar will she need ?

Shanika is making cookies.Her recipe calls for 1cup of sugar for 1.5 dozen cookies.shanika wants to make 6 dozen cookies.How many cups of sugar will she need?

3 cups

what is it

3 cups

4

To find out how many cups of sugar Shanika will need to make 6 dozen cookies, we can use the ratio or proportion method.

First, we need to determine the number of cookies in 6 dozen. There are 12 cookies in a dozen, so 6 dozen will have 6 x 12 = 72 cookies.

Now, let's set up a proportion based on the ratio of cookies to the amount of sugar. Since the original recipe makes 1 1/2 dozen cookies (or 18 cookies) with 3/4 cup of sugar, we can set up the following proportion:

18 cookies / 3/4 cups = 72 cookies / x cups

To solve for x, the number of cups of sugar needed for 72 cookies, we can cross-multiply:

(18 cookies) * (x cups) = (72 cookies) * (3/4 cups)

Next, we can simplify the equation:

18x = 216/4

By dividing both sides of the equation by 18, we get:

x = (216/4) / 18 = 216/72 = 3/1 = 3 cups

Therefore, Shanika will need 3 cups of sugar to make 6 dozen cookies.