Math

QuestionLena uses 2 cups for cookies, 2122 \frac{1}{2} cups for bread, and 12\frac{1}{2} cup for dusting. Find flour usage: 2c+2.5b+0.52c + 2.5b + 0.5.

Studdy Solution

STEP 1

Assumptions1. Lena uses cups of flour for a batch of cookies. Lena uses 1 \frac{1}{} cups of flour for a loaf of bread3. Lena uses 1\frac{1}{} cup of flour for dusting her workbench4. Let cc be the number of cookie batches Lena makes5. Let bb be the number of bread loaves Lena makes

STEP 2

First, we need to find the total amount of flour Lena uses for making cookies. We can do this by multiplying the amount of flour used for one batch of cookies by the number of batches.
Flourforcookies=2cFlour\, for\, cookies =2c

STEP 3

Next, we need to find the total amount of flour Lena uses for making bread. We can do this by multiplying the amount of flour used for one loaf of bread by the number of loaves.
Flourforbread=212bFlour\, for\, bread =2\frac{1}{2}b

STEP 4

Convert the mixed number to an improper fraction.
212=22\frac{1}{2} = \frac{}{2}Flourforbread=2bFlour\, for\, bread = \frac{}{2}b

STEP 5

Now, we need to find the total amount of flour Lena uses for dusting her workbench. Since she uses 12\frac{1}{2} cup of flour for dusting her workbench each time she bakes, and she bakes cc batches of cookies and bb loaves of bread, the total amount of flour used for dusting is 12(c+b)\frac{1}{2}(c+b).

STEP 6

Finally, to find the total amount of flour Lena uses, we add the amount of flour used for cookies, bread, and dusting.
Totalflour=Flourforcookies+Flourforbread+FlourfordustingTotal\, flour = Flour\, for\, cookies + Flour\, for\, bread + Flour\, for\, dusting

STEP 7

Plug in the expressions for the flour used for cookies, bread, and dusting.
Totalflour=2c+52b+12(c+b)Total\, flour =2c + \frac{5}{2}b + \frac{1}{2}(c+b)This expression represents the total amount of flour Lena uses.

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