SOLUTION: a flock of geese on a pond were being observed continuously 1:00 p.m. 1/5 of the geese flew away 2:00 p.m. 1/8 of the geese that remained flew away. 3:00 p.m. 3 times as many ge

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Question 313580: a flock of geese on a pond were being observed continuously
1:00 p.m. 1/5 of the geese flew away
2:00 p.m. 1/8 of the geese that remained flew away.
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 of die. How many geese were in the original flock?

Answer by OmniMaestra(21) About Me  (Show Source):
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a flock of geese on a pond were being observed continuously
1:00 p.m. 1/5 of the geese flew away
2:00 p.m. 1/8 of the geese that remained flew away.
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 of die. How many geese were in the original flock?
Let x= the number of geese in the original flock
x -(1/5)x-(1/8)(4/5)x-(3/5)x=28
(1-.2-.1-.6)x=28
.1x=28
x=280