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At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for 33 cups of flour each. Then, she used the remaining 88 cups of flour she had to make a pan of muffins. She started her shift with a 2020-cup bag of flour.\newlineWhich equation can you use to find how many batches of cookies, xx, Megan made?\newlineChoices:\newline(A) 8(x+3)=208(x + 3) = 20\newline(B) 3(x+8)=203(x + 8) = 20\newline(C) 8x+3=208x + 3 = 20\newline(D) 3x+8=203x + 8 = 20\newlineHow many batches of cookies did Megan make?\newlineWrite your answer as a whole number or a simplified fraction.\newline____ batches of cookies\newline

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Q. At the start of her shift at Midtown Bakery, Megan made some batches of cookies that called for 33 cups of flour each. Then, she used the remaining 88 cups of flour she had to make a pan of muffins. She started her shift with a 2020-cup bag of flour.\newlineWhich equation can you use to find how many batches of cookies, xx, Megan made?\newlineChoices:\newline(A) 8(x+3)=208(x + 3) = 20\newline(B) 3(x+8)=203(x + 8) = 20\newline(C) 8x+3=208x + 3 = 20\newline(D) 3x+8=203x + 8 = 20\newlineHow many batches of cookies did Megan make?\newlineWrite your answer as a whole number or a simplified fraction.\newline____ batches of cookies\newline
  1. Identify Flour Usage: Identify the total amount of flour Megan started with and how it was used. She used 33 cups per batch of cookies and had 88 cups left for muffins. Total flour = 2020 cups.
  2. Set Up Equation: Set up an equation to represent the situation. Let xx be the number of batches of cookies. Each batch uses 33 cups, so 3x3x cups are used for cookies. Plus 88 cups for muffins equals the total flour. Equation: 3x+8=203x + 8 = 20.
  3. Solve for x: Solve the equation for x. Subtract 88 from both sides: 3x+88=2083x + 8 - 8 = 20 - 8, which simplifies to 3x=123x = 12. Then, divide both sides by 33: 3x3=123\frac{3x}{3} = \frac{12}{3}, resulting in x=4x = 4.