document.write( "Question 98283: You have ten stacks of coins, each stack consisting of ten half-dollars. One entire stack is counterfeit, but you do not know which one. But you do know the weight of a genuine half-dollar (10 grams each), and you are also told that each counterfeit coin weighs 1 gram more than it should. You may weigh the coins on a scale. What is the smallest number of weighings necessary to determine which stack is counterfeit? \n" ); document.write( "
Algebra.Com's Answer #71450 by checkley71(8403)![]() ![]() ![]() You can put this solution on YOUR website! 3 DIFFERENT WEIGHING SHOULD DO IT. \n" ); document.write( "5 & 5 FOR THE FIRST WEIGHING. THE HEAVIEST 5 CONTAINS THE BAD STACK. \n" ); document.write( "DIVIDE THIS 5 INTO 2 SETS OF 2 EACH. THE HEAVIEST SIDE CONTAINS THE BAD STACK. \n" ); document.write( "(WORST CASE) \n" ); document.write( "DIVIDE THE HEAVIEST PAIR AND WEIGH THEM INDIVIDUALLY THE HEAVIEST WILL SHOW UP. \n" ); document.write( " \n" ); document.write( " |