Ask your own question, for FREE!
Mathematics 16 Online
OpenStudy (anonymous):

There are 20 bags filled with coins that all look alike. The coins in 19 of the bags are authentic and weigh 10 ounces each. The coins in one of the bags are counterfeit and weigh 11 ounces each. With only one weighing on a scale, how can you determine which bag contains the counterfeit coins? This one has me stumped

OpenStudy (anonymous):

divide and conquer

OpenStudy (anonymous):

hmmm divide what?

OpenStudy (anonymous):

it works like this: divide into 2 groups of 10. One of the group will weigh more than the other. And repeat

OpenStudy (anonymous):

thank you will give it a go :-)

OpenStudy (anonymous):

Hold on.. i didn't read the question carefully, it said only ONE weighing?

OpenStudy (anonymous):

yes only one

OpenStudy (anonymous):

uh.... might be impossible

OpenStudy (anonymous):

ahh well thanks anyway

OpenStudy (wolf1728):

Take one coin from 1st bag 2 coins from 2nd bag 3 coins from 3rd bag, 20 coins from 20 th bag. This will give you 210 coins which should weigh 2100 ounces. If it weighs 2101 ounces - first bag has the incorrect coins If it weighs 2102 ounces - second bag, etc.

OpenStudy (anonymous):

wow thanks seems too easy lol

OpenStudy (wolf1728):

it's all right :-)

Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!
Can't find your answer? Make a FREE account and ask your own questions, OR help others and earn volunteer hours!

Join our real-time social learning platform and learn together with your friends!