A recipe for cookies calls for 4 eggs. The recipe makes 6 dozen cookies. how many eggs would be need to make 21 dozen cookies?

4 / 6 : x / 21

Cross multiply.

We'll be glad to check your answer.

63 eggs?

No, from the proportion, you should see that x will be less than 21, not more.

4/6 : x/21 cross-multiplied ~~> 4*21=6x

Now solve for x. Multiply 4*21 and then divide both sides by 6. What's the answer?

14 eggs!

Right! :-)

To find out how many eggs would be needed to make 21 dozen cookies, we can use the proportion method.

First, let's determine the number of eggs needed for 1 dozen cookies. Since the recipe calls for 4 eggs and makes 6 dozen cookies, we can set up the following proportion:

4 eggs / 6 dozen cookies = x eggs / 1 dozen cookies

To find the value of x, we can cross-multiply and then divide:

4 eggs * 1 dozen cookies = 6 dozen cookies * x eggs

4 eggs = 6x eggs

Divide both sides of the equation by 6:

(4 eggs) / 6 = (6x eggs) / 6

2/3 egg = x eggs

So, 1 dozen cookies requires 2/3 of an egg.

Now, to find the number of eggs needed to make 21 dozen cookies, we multiply the amount needed for 1 dozen cookies by 21:

(2/3 egg) * 21 dozen cookies

Multiply the numerators and denominators:

(2 * 21) / (3 * 1) = 42/3 = 14 eggs

Therefore, to make 21 dozen cookies, you would need 14 eggs.