QuestionLena uses 2 cups for cookies, $2 \frac{1}{2}$ for bread, and $\frac{1}{2}$ for dusting. Find a formula for flour used.

Studdy Solution

STEP 1

Assumptions1. Lena uses cups of flour for a batch of cookies, denoted as $c$ . Lena uses $\frac{1}{}$ cups of flour for a loaf of bread, denoted as $b$
3. Lena uses $\frac{1}{}$ cup of flour for dusting her workbench4. We need to find an expression that represents the total amount of flour Lena uses

STEP 2

Let's start by writing an expression for the total amount of flour Lena uses. This will be the sum of the flour she uses for cookies, bread, and dusting her workbench.
$Total\, flour = Flour\, for\, cookies + Flour\, for\, bread + Flour\, for\, dusting\, workbench$

STEP 3

Now, we can replace "Flour for cookies", "Flour for bread", and "Flour for dusting workbench" with the given values.
$Total\, flour =2c +2\frac{1}{2}b + \frac{1}{2}$

STEP 4

This expression represents the total amount of flour Lena uses. Now, let's compare this expression with the options given in the problem.
(A) $2 c+2 \frac{1}{2} b+\frac{1}{2}$ (B) $\frac{1}{2}\left(2 c+2 \frac{1}{2} b\right)$ (C) $\frac{1}{2}+2 b+2 \frac{1}{2} c$
(D) $\left(2+2 \frac{1}{2}\right)(b+c)+\frac{1}{2}$

STEP 5

Comparing our expression with the options, we can see that option (A) matches our expression.
So, the correct answer is (A) $2 c+2 \frac{1}{2} b+\frac{1}{2}$ .

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