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Solution To The Bags And Beads Weighty Puzzle

The bags and beans solution. This was pretty difficult to figure out, did you get the correct answer to the bags and beads weighty puzzle?

Label the bags from 1 to 5.  Take 1 bead out of Bag 1, and label it 1.  Take 2 beads out of Bag 2, and label them both with a 2.  Take 3 beads out of Bag 3, and label each with a 3.  Continue this pattern with Bags 4 and 5.  Put these 15 beads on the tray of the scale.

If all 15 weighed 10 grams, the scale would register 150 grams.  But since one or more of the beads weighs only 9 grams, the scale will register less than 150.  Subtract the number on the scale from 150.  Your answer will tell you the number of the bag with the lighter beads. (If the scale registers 148, it's bag #2.  If the scale registers 145, it's bag #5.)



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