A certain number of geese swims in lake as it contains sweet water . Suddenly , some one shots a fire , one third of the total geese flew away and sits on a tree. Just then another fire is done by a hunter . Two fifth of the remaining geese flew away and arrived to swim in a river . If the remaining number of geese in the lake is 120, then 1) How many geese flew away during the fire? 2) How many geese are there in the river? 3) What is the total number of geese in the lake?
Answers
Let x be the number of geese in the lake.
After the first shot is fired, x/3 of the geese fly to a tree. The remaining geese is 2x/3.
After the second shot is fired, then 2/5th of the remaining geese fly to the river.
The number of geese flying to the river will be 2/5*2x/3
The remaining geese in the lake is 3/5*2x/3 = 120.
Therefore, x = 120/2*5 = 300, since the 3’s in the numerator and denominator cancel each other.
No. of geese that flew away to the tree when the first shot was fired = 1/3 * 300 = 100.
No. of geese that flew to the river is 2/5 * 2*300/3 = 2/5 * 200 = 80.
1. No. of geese that flew to the tree = 100
2. No. of geese in the river = 80
3. Total No. of geese in the lake = 300