Alliance Gertz-Ressler High School

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Math Department Puzzle #1:

A rock weighing 40 pounds is broken into 4 pieces such that the weights (in pounds) of the 4 piece are whole numbers.  It is possible to use some or all of the 4 pieces on a balance to determine the weight of an object (40 pounds or less) whose weight is also a whole number of pounds. What should be the weights of the 4 pieces?

Please submit your solution by email to any of the math teachers in the department.