6. The following problem 5 is from an SAT exam, and very few students solved it. Can you solve this problem? A flock of geese on a pond were being observed continuously. At 1:00 PM, 51 of the geese flew away. At 2:00 PM, 81 of the geese that remained flew away. At 3:00 PM, 3 times as many geese as had flown away at 1:00 PM 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