Question Dear Mitch, Can you post another one of those balance-scale problems for the Christmas season? (But a different one than the one you posted last Christmas because my teacher already pulled that one up and she loves it so I wanted to surprise her with a new one.) Thank you, J. Bartlett Answer Dear J. Bartlett, Yes, and here they are! Below, you will find a new Christmas challenge problem of the type you mention, as well as a Hanukkah one that is exactly as challenging, but, of course, with a different 'theme' to it. Hope you enjoy them, and happy holidays! Mitch  CHRISTMAS BALANCE A series of weighings is shown below. The items on the scales are small ornaments for a family's Christmas tree.  There are three different kinds of ornaments – glass candy canes, tiny porcelain snowmen, and miniature Christmas trees.  Going from top to bottom, the first two scales (scale A and scale B) are balanced and complete. But the third scale (scale C) is not. QUESTION:  How many Christmas trees will have to be ADDED to the five snowmen on the right-hand side of scale C in order to form a balance with the left-hand side of that scale, which, as depicted in the illustration, is holding 5 glass candy canes?      HANUKKAH BALANCE  A series of weighings is shown below. The items on the scales are small ornaments for a family's Hanukkah celebration.  There are three different kinds of ornaments – dreidels, which children spin to play games, candles, which are lighted each night of the holiday, and presents for the children.   Going from top to bottom, the first two scales (scale A and scale B) are balanced and complete.   But the third scale (scale C) is not.   QUESTION:  How many of the presents will have to be ADDED to the five candles on the right-hand side of scale C in order to form a balance with the left-hand side of that scale, which, as depicted in the illustration, is holding 5 dreidels?   © 2019. Mitch Adler. All rights reserved.