7. The Geese Problem: “A flock of geese on a pond were being observed continuously.
At 1:00 P. M., 1/5 (or 20%) of the geese flew away.
At 2:00 P. M., 1/8 (or 12.5%) of the geese that remained flew away.
At 3:00 P. M., 3 times as many geese as had flown away at 1:00 P. M. flew away, leaving 28 geese on the pond.
At no other time did any geese arrive or fly away or die. How many geese were in the original flock?"