QuestionMargot has $21 \frac{1}{2}$ lbs flour, 8 lbs butter, and $18 \frac{1}{2}$ lbs sugar. For 12 batches, how much per batch?

Studdy Solution

STEP 1

Assumptions1. The total amount of flour is $21 \frac{1}{}$ pounds. The total amount of butter is8 pounds3. The total amount of sugar is $18 \frac{1}{}$ pounds4. Margot makes12 batches of cookies5. All the ingredients are used up in making these12 batches

STEP 2

First, we need to find the total weight of all ingredients. We can do this by adding the weight of the flour, butter, and sugar.
$Total\, weight = Weight\, of\, flour + Weight\, of\, butter + Weight\, of\, sugar$

STEP 3

Now, plug in the given values for the weight of the flour, butter, and sugar to calculate the total weight.
$Total\, weight =21 \frac{1}{2} +8 +18 \frac{1}{2}$

STEP 4

Calculate the total weight of all ingredients.
$Total\, weight =21 \frac{1}{2} +8 +18 \frac{1}{2} =48$

STEP 5

Now that we have the total weight of all ingredients, we can divide this by the number of batches (12) to find the weight of ingredients used in each batch.
$Weight\, per\, batch = Total\, weight / Number\, of\, batches$

STEP 6

Plug in the values for the total weight and the number of batches to calculate the weight per batch.
$Weight\, per\, batch =48 /12$

STEP 7

Calculate the weight of ingredients used in each batch.
$Weight\, per\, batch =48 /12 =4$ Margot uses4 pounds of ingredients in each batch.

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