There are 3 friends, Alex, Bill and Sam. They have a certain number of muffins. Alex takes 1 muffin and then takes 1/3rd of the remaining muffins. Bill takes 6 muffins and then takes 1/3rd of the remaining muffins. Sam takes the remaining 40 muffins.
How many muffins did Bill get. Do not use hit and try method.
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1+1/3(x-1)+6+1/3((x-7-(1/3(x-1))))+40=x where x=total muffins Bill's share is 6+1/3((x-7-(1/3(x-1)))) where x=100