math116
posted by Janet .
If you have 100 pills You have 10 bottles Each bottle weighs 1 gram You have 1 counterfiet it weighs 1.1 gram You can only use a scale to weigh one time Which one is the counterfit? Hint Number the bottles...

weigh one time?
Here is a method to weigh just a few times:
divide the bottles into two groups of five.
weigh each group, the heavy group cntains the culprit.
divide the heavy group into three sets, 2,2,1
compare the 2,2 group. If they areequal, the remaining bottle is bad.
If they are unequal, the heavy group of 2 contains the culprit.
compare those two.
Respond to this Question
Similar Questions

career question, please help
Fill in the blank with the correct answer. You are a production manager for a pill manufacturer. You must get the materials for a production run. The order calls for 10,000 pills. The materials to go inside the 10,000 pills cost a … 
career course
how would this quesFill in the blank with the correct answer. You are a production manager for a pill manufacturer. You must get the materials for a production run. The order calls for 10,000 pills. The materials to go inside the 10,000 … 
math
margarit liked to balance things. she balanced 3 pencil sharpeners and 2 one gram blocks with a 100 gram weight and another one gram block. she let x stand for the weight of one pencil sharpener and she claimed that x=30grams. was … 
arithmetic
a total of eight pills are on a table. all have the same color and size. however, one is poisonous and weighs a fraction more than the others. a balance scale may be used only two times to determine the heavier pill. seven of the pills … 
science
an empty density bottle weighs 25 gram. when completely filled with water, it weighs 55 gram and when completely filled with a liquid, it weighs 52 gram. calculate volume and density of the bottle. 
math
A pharmacist has 2 hectograms 55 grams of pills. Each pill weighs 1 gram 2 centigrams. how many pills does the pharmacist have altoghter? 
Logic
Situation 1: You have eight billiard balls. One of them is "defective," meaning that it weighs more than the others. How do you tell, using a balance, which ball is defective in two weighings? 
MAth
1 apple weighs x gram 1 banana weighs y gram; y> x 1 orange weighs z grams A magician can combine 1 apple and one banana to make one orange. The magician is given 57 grams of apples and 57 grams of bananas. what is the theoretical … 
Physics
an empty rd bottle weighs 60 grams but weighs 120 gram when completely filled with water when the bottle is completely with an unknown liquid it weighs 90 gram what will be the volume of the rd bottle 
physics
I have put a 100 gram weight ball in a plastic bottle and weight of this bottle is 20 gram .Now I shake this bottle in horizontal direction towards 5 centimeter back and forth with the applying force of 1 newton .So what will be the …