Question

Betty makes cookies. To make 5 dozen cookies, she

uses 13 1/4 cups of flour. How many cups are needed to
make 1 dozen cookies?

Answer 1

2.65 cups

Explanation:

5 dozen = 13 1/4 (13.25) cups.

1 dozen = 13.25 / 5

= 2.65 cups

Answer 2

Betty needs 2 5/8 cups of flour to make 1 dozen cookies.

Explanation:

Given:

• Betty makes 5 dozen cookies
• Betty uses 13 1/4 cups of flour to make 5 dozen cookies

To find:

• How many cups of flour are needed to make 1 dozen cookies?

Solution:

To solve the problem, we need to use the concept of proportionality. We can set up a proportion to find how many cups of flour are needed to make 1 dozen cookies.

Let x be the number of cups of flour needed to make 1 dozen cookies.

We can set up a proportion using the ratio of cups of flour to dozens of cookies:

`\sf\implies(13(1)/(4)\: cups)/(5) = (x\:cups)/(1)`

To solve for x, we can cross-multiply the proportion:

`\sf\implies 13(1)/(4)\: cups * 1 = 5 * x\: cups`

Simplifying the equation, we get:

`\sf\implies 13.25\: cups = 5x`

To isolate x, we can divide both sides by 5:

`\sf\implies (13.25\: cups)/(5) = x`

Simplifying the fraction, we get:

`\sf\implies 2(5)/(8)\: cups = x`

Therefore, Betty needs 2 5/8 cups of flour to make 1 dozen cookies.

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