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.