A recipe that yields 30 cookies requires 2LaTeX: \frac{1}{2}

Question

A recipe that yields 30 cookies requires 2LaTeX: \frac{1}{2}

cups of flour. How much flour is needed to make six dozen cookies using this same recipe?

Answer 1

you can obviously type 2 1/2, so why all the LaTex nonsense?

6doz * 12cookies/doz * (2 1/2 c)/30cookies
= (6 * 12 * 2 1/2)/30 cookies

Answer 2

To find out how much flour is needed to make six dozen cookies, we can start by calculating how many cookies are in one dozen.

Since there are 12 items in one dozen, six dozen would have 6 * 12 = 72 cookies.

Now, we can use a proportion to determine the amount of flour needed.

Since the original recipe yields 30 cookies and requires 1/2 cup of flour, we can set up the following proportion:

30 cookies / 1/2 cup = 72 cookies / x cups (where x is the unknown amount of flour needed for six dozen cookies)

We can solve this proportion by cross-multiplying:

30 * x = 72 * 1/2

Now, let's solve for x:

30x = 36

Divide both sides by 30:

x = 36 / 30

x = 1.2

Therefore, to make six dozen cookies using this recipe, you would need 1.2 cups of flour.

A recipe that yields 30 cookies requires 2LaTeX: \frac{1}{2}

2 1/2*

you can obviously type 2 1/2, so why all the LaTex nonsense?

To find out how much flour is needed to make six dozen cookies, we can start by calculating how many cookies are in one dozen.