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You have a 3 cup container, a 5 cup container, and an 8 cup container. The 8-cup container is exactly full with sugar, but the other two are empty. You want to split it evenly with a friend so you can both make the same recipe, which calls for 4 cups of sugar. Neither of you has any more sugar. How can you make it so that two of the containers have exactly 4 cups of sugar?

 Apr 3, 2020
 #1
avatar+262 
+3

Fill up the 5 container and dump it all in the 3 to get 3 in the 3, 2 in the 5 and 3 in the 8. Dump all the 3 in the 8 and dump the two from the five in the 3 to get 2 in the 3, none in the 5, and 6 outside. Fill up the 5 and dump one in the 3. You get 3 in the three and  in the 5. Put the three with the remaining one in the 8 jar and yu have two separate piles of four!

 

smileysmileysmiley

 Apr 3, 2020
 #2
avatar+112419 
+2

Pour  3  out  of  8  into  3

 

8 contains 5          3  contains 3      5  contains  0

 

Pour   3  into 5

 

8 contains 5      3 contains  0     5 contains  3

 

Pour  3  out of 8  into 3

 

8 contains 2     3 contains 3      5 contains 3

 

Pour  1  out of 8  into  5

 

8 contains 1     3 contains 3     5 contains  4

 

Pour  3  out of 3  into 8

 

8 contains 4    3 contains  0    5 contains 4

 

 

 

 

cool cool cool

 Apr 3, 2020

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