A recipe for cookies calls for 7 and one half 7 1 2 cups of flour. If the recipe is for 22 dozen​ cookies, how much flour is needed for 1313 dozen​ cookies?

7.5/22 = x/1313

Solve for x.

To find out how much flour is needed for 13 dozen cookies, we can set up a proportion. Let's start by finding out how much flour is needed for 1 dozen cookies.

If the recipe calls for 7 1/2 cups of flour for 22 dozen cookies, we can divide the amount of flour by the number of dozens:

7 1/2 cups / 22 dozen = (15/2) cups / 22 = 15/2 * 1/22 = 15/44 cups

So, for 1 dozen cookies, we need 15/44 cups of flour.

Now, let's find out how much flour is needed for 13 dozen cookies. We can multiply the amount needed for 1 dozen by 13:

(15/44 cups/dozen) * 13 dozen = 15/44 * 13 = 195/44 cups

Therefore, for 13 dozen cookies, we'd need 195/44 cups of flour.