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For his birthday, Shawn's parents give him tickets to feed the penguins at the zoo! The zookeeper gives Shawn a bucket of fish to divide evenly among 66 penguins. Shawn feeds each penguin 33 fish.\newlineLet ff represent how many fish were in the bucket to start. Which equation models the problem?\newlineChoices:\newline(A)3f=6(A) 3f = 6\newline(B)f6=3(B) \frac{f}{6} = 3\newlineSolve this equation to find how many fish were in the bucket to start.\newline___\_\_\_ fish\newline

Full solution

Q. For his birthday, Shawn's parents give him tickets to feed the penguins at the zoo! The zookeeper gives Shawn a bucket of fish to divide evenly among 66 penguins. Shawn feeds each penguin 33 fish.\newlineLet ff represent how many fish were in the bucket to start. Which equation models the problem?\newlineChoices:\newline(A)3f=6(A) 3f = 6\newline(B)f6=3(B) \frac{f}{6} = 3\newlineSolve this equation to find how many fish were in the bucket to start.\newline___\_\_\_ fish\newline
  1. Identify Total Fish Used: Let's figure out the equation that fits the problem. Shawn feeds each of the 66 penguins 33 fish. So, the total number of fish used is 6×36 \times 3, which is 1818 fish.
  2. Formulate Equation: Now, we need to find the equation that represents this situation. The correct equation should show the total number of fish ff divided by the number of penguins 66 equals the number of fish each penguin gets 33. So, the equation is f6=3\frac{f}{6} = 3.
  3. Solve for Total Fish: To find ff, multiply both sides of the equation by 66. f6×6=3×6\frac{f}{6} \times 6 = 3 \times 6, which simplifies to f=18f = 18.