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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) 8x+3=208x + 3 = 20\newline(B) 8(x+3)=208(x + 3) = 20\newline(C) 3x+8=203x + 8 = 20\newline(D) 3(x+8)=203(x + 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

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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) 8x+3=208x + 3 = 20\newline(B) 8(x+3)=208(x + 3) = 20\newline(C) 3x+8=203x + 8 = 20\newline(D) 3(x+8)=203(x + 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
  1. Understand the problem: Understand the problem.\newlineMegan used a 2020-cup bag of flour. She made batches of cookies with 33 cups of flour each and then used the remaining 88 cups to make muffins. We need to find out how many batches of cookies she made.
  2. Set up the equation: Set up the equation.\newlineLet xx represent the number of batches of cookies Megan made. Each batch requires 33 cups of flour, so 3x3x cups of flour were used for the cookies. She had 88 cups of flour left for the muffins. The total amount of flour used is the sum of the flour for cookies and the flour for muffins, which equals the initial amount of flour she had, 2020 cups.\newlineThe equation is 3x3x (for the cookies) + 88 (for the muffins) = 2020 (total flour).
  3. Identify the correct equation: Identify the correct equation from the choices.\newlineThe correct equation that represents the situation is 3x+8=203x + 8 = 20, which is choice (C)(C).
  4. Solve the equation for x: Solve the equation for x.\newlineSubtract 88 from both sides of the equation to isolate the term with xx:\newline3x+88=2083x + 8 - 8 = 20 - 8\newline3x=123x = 12\newlineNow, divide both sides by 33 to solve for xx:\newline3x3=123\frac{3x}{3} = \frac{12}{3}\newlinex=4x = 4