math

posted by .

THE MIDAS TOUCH
King Midas was a very wealthy and powerful king who ruled over 10 states. Each
year each of the states would have to send him, as taxes, a bag fi lled with 100 gold coins. Each
gold coin would have to weigh exactly 4 ounces.
One year after the King received all the bags of gold, with each clearly labeled with the
name of the state it came from, a messenger came running in to the King. He shouted, “Your
Majesty, one of the Governors tricked you. His bag of gold is fi lled with coins that are only
3 ounces per coin instead of 4.” But, before he could utter the name of the Governor or the
state that produced the counterfeit coins, an arrow fl ew through the window and struck him in
the throat. He fell over, dead. So, the King had 10 bags of gold in front of him and no way to
know which contains the counterfeit coins.
Now the King had a scale which is similar to a regular bathroom scale in that it tells you the
total weight placed on it (i.e. 5 ounces, 3 lbs, etc.). And, because he was a very cheap kind of
guy you needed to put a penny into the scale to get a single weighing. Th e King only had one
penny in the whole kingdom so he knew he had to solve this in one weighing.
Question: How was the King going to fi gure out who is the cheating Governor with just one
weighing of the scale?

  • math -

    Put all ten bags on the scale and then remove them one by one. Watch for a drop of 300 oz instead of 400. That would be the bag of 3 oz coins. The "penny" scale will count that as one weighing.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. english II

    Error in consistency and parallelism. the answer is c. A.Actually, the pineapple was a symbol of hospitality. B.Everything that King Midas touched turned to gold, including his food and water. C.The farmer butchered the pig he had …
  2. english II

    Error in position of modifiers. the answer is c. A.Actually, the pineapple was a symbol of hospitality. B.Everything that King Midas touched turned to gold, including his food and water. C.The farmer butchered the pig he had raised …
  3. uhh help

    the legendary king midas was a: a.very beautiful b.very rich man c.very wise man d.very brave man i choose c?
  4. English

    Position of Modifiers (errors in the placement of a modifier in a sentence) Answer Actually, the pineapple was a symbol of hospitality. Everything that King Midas touched turned to gold, including his food and water. The farmer butchered …
  5. PROBLEM SOLVING IN MATHEMATICS

    you have 13 bags of gold wins. out of 13 bags gold coins, there is one bag gold coins lighter. assume that one real gold coins is 10g and the fake is 9g. now, you are given a electronic beam balance. find the most minimum ways to figure …
  6. PROBLEM SOLVING IN MATHEMATICS

    you have 13 bags of gold wins. out of 13 bags gold coins, there is one bag gold coins lighter. assume that one real gold coins is 10g and the fake is 9g. now, you are given a electronic beam balance. find the most minimum ways to figure …
  7. Language Arts

    This is my last comma question of the night. In the sentence, "King Midas's gift is deadly because he cannot eat drink or touch people." I know commas go after "eat" and "drink", but would a comma also go after "deadly"?
  8. Social studies

    What fundamental problem did noah Webster see in the Articles of Confederation?
  9. American Government

    In this extract from the federalist papers, Alexander Hamilton most likely use a comparison between the president of the united states and the king of Great Britain to show * that the president is just as powerful as the king. * that …
  10. English

    The third man was the old man. He defeated the king with his lie. What lie did he tell the king?

More Similar Questions