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

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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) 3(x+8)=203(x + 8) = 20\newline(B) 8x+3=208x + 3 = 20\newline(C) 8(x+3)=208(x + 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
  1. Identify Flour Amounts: Identify the total amount of flour Megan started with and the amount used for muffins.\newlineMegan started with a 2020-cup bag of flour and used 88 cups for muffins.
  2. Determine Cookies Flour: Determine the amount of flour used for cookies.\newlineThe total flour minus the flour used for muffins equals the flour used for cookies.\newlineSo, 2020 cups (total) - 88 cups (for muffins) = 1212 cups (for cookies).
  3. Write Equation for Cookies: Write an equation to represent the relationship between the number of batches of cookies, xx, and the amount of flour used for cookies.\newlineEach batch of cookies uses 33 cups of flour, so 33 cups/batch * xx batches = 1212 cups.\newlineThe equation is 3x+8=203x + 8 = 20, where 3x3x represents the flour used for cookies and 88 represents the remaining flour used for muffins.
  4. Solve Equation for Batches: Solve the equation for xx to find the number of batches of cookies Megan made.\newlineSubtract 88 from both sides of the equation: 3x+88=2083x + 8 - 8 = 20 - 8.\newlineThis simplifies to 3x=123x = 12.\newlineNow, divide both sides by 33: 3x3=123\frac{3x}{3} = \frac{12}{3}.\newlineThis gives us x=4x = 4.