Pet store

In a pet store, they are selling out the fish from one aquarium. Ondra wanted half of all fish, but they don't wish cut by hal fany fish he got one more than demanded. Matthew wished the remaining half of the fish, but as Andrew got half the fish more than demanded. Finally Peter wanted half of the remaining fish, but also got half the fish more than demanded. Then aquarium was without fish. How many fish were originally in aquarium, and how many of them got Ondra, Matthew and Peter?

Result

x =  7
O =  4
M =  2
P =  1

Solution:

x=231=7x=2^3-1=7
O=x/2+0.5=7/2+0.5=4O=x/2+0.5=7/2+0.5=4
M=(xO)/2+0.5=(74)/2+0.5=2M=(x-O)/2+0.5=(7-4)/2+0.5=2
P=(xMO)/2+0.5=(724)/2+0.5=1P=(x-M-O)/2+0.5=(7-2-4)/2+0.5=1



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