1.07.2010

Royal Snacks


One night the King couldn't sleep, so he went down into the Royal kitchen, where he found a bowl full of mangoes. Being hungry, he took 1/6 of the mangoes.


 Later that same night, the Queen was hungry and couldn't sleep. She, too, found the mangoes and took 1/5 of what the King had left.


Still later, the first Prince awoke, went to the kitchen, and ate 1/4 of the remaining mangoes.


Even later, his brother, the second Prince, ate 1/3 of what was then left.


Finally, the third Prince ate 1/2 of what was left, leaving only three mangoes for the servants.


How many mangoes were originally in the bowl?


Nicely done to you all!!!!!   A great way to work with these types of problems is to work backwards.  Some of you started at 18 and then explained why this number worked.  This is a great example of "proof."  Some of you started and 3, this was a great way to show your method. You used tables and proportion to solve this kuddos!  I loved the student that made it the connection that the ate 1/6th of the mangos, and the portion of each 6th was three (as stated in the left overs.)  Nice Job.  Many of you got lucky this week as you simply multiplied - however there was a big assumption for those of you that used this method that each person ate 3.  There was no explaination of how you knew this, I can only make the assumption that you simple used numbers given without justifying why 3 worked.  Here is another way to solve the problem - visualize the problem. 






Please don't forget to follow the criteria for posting on the main page.  Things to think about:
Are you using complete explainations? 
Are there steps left out?
Are you using complete sentences?
Are you providing proof or your process?