Question

A flock of geese is flying while another goose is flying past it. The goose asks the leader of the flock how many they are. The leader answers:
"Us, plus us, plus half of us, plus a quarter of us, plus myself make the flock 100 geese. How many are we?

Answer 1

x+x+x/2+x/4 + 1 = 100
8x+x2x+x+4x=x100
x=36

check:
36+36+18+9+1 = ????

Answer 2

Thanks

Answer 3

Let "us"=a

a + a + a/2 +a/4 + 1 = 100

a + a + a/2 +a/4 = 99

2a + a/2 +a/4 = 99

a (2 + 0.5 + 0.25) = 99

a (2.75) = 99

a = 36