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The following is from an SAT exam: A flock of geese on a pond were being observed continuously. At 1:00pm, b of the geese

 

The following is from an SAT exam: A flock of geese on a pond were being observed continuously. At 1:00pm, b of the geese flew away. At 2:00pm, of the geese that remained flew away. At 3:00pm, 3 times as many geese that had flown away at 1:00pm, flew away, leaving 28 geese on the pond. At no other time did any geese arrive, fly away, or die. How many geese were in the original flock? a. Solve the problem in two distinct ways. b. When this problem was on the SAT, it was considered a difficult problem. Identify one aspect of the problem that might be challenging to students. Why might this be challenging?

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