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Stan's cookie recipe makes 24 cookies and calls for exactly 384 sprinkles. He is wondering how many sprinkles (p) he will need to make 60 cookies. He assumes each cookie will have the same number of sprinkles. How many sprinkles does Stan need to make 60 cookies? sprinkles

Stan's cookie recipe makes 2424 cookies and calls for exactly 384384 sprinkles. He is wondering how many sprinkles (p) (p) he will need to make 6060 cookies. He assumes each cookie will have the same number of sprinkles.\newlineHow many sprinkles does Stan need to make 6060 cookies?\newlinesprinkles

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Q. Stan's cookie recipe makes 2424 cookies and calls for exactly 384384 sprinkles. He is wondering how many sprinkles (p) (p) he will need to make 6060 cookies. He assumes each cookie will have the same number of sprinkles.\newlineHow many sprinkles does Stan need to make 6060 cookies?\newlinesprinkles
  1. Calculate Sprinkles per Cookie: Determine the number of sprinkles per cookie based on the given recipe.\newlineReasoning: The recipe makes 2424 cookies with 384384 sprinkles, so we divide the total number of sprinkles by the number of cookies to find the sprinkles per cookie.\newlineCalculation: Sprinkles per cookie = Total sprinkles / Number of cookies = 384384 sprinkles / 2424 cookies = 1616 sprinkles per cookie.\newlineMath error check: 384384 divided by 2424 equals 1616, which is a whole number and seems reasonable for the number of sprinkles per cookie.
  2. Calculate Total Sprinkles: Calculate the total number of sprinkles needed for 6060 cookies.\newlineReasoning: If each cookie has the same number of sprinkles, we multiply the number of cookies Stan wants to make by the number of sprinkles per cookie.\newlineCalculation: Total sprinkles needed = Sprinkles per cookie ×\times Number of cookies = 1616 sprinkles/cookie ×\times 6060 cookies = 960960 sprinkles.\newlineMath error check: 1616 multiplied by 6060 equals 960960, which is the correct multiplication.

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