You have a balance scale with four weights. With these four weights you must balance any whole number load (in ounces) from 1 all the way up to 40.

How much should each of the four weights weigh?

(You may place weights on both sides of the scale at the same time.)

• The answer is that you need a one-ounce, a three-ounce, a nine-ounce, and a twenty-seven ounce weight.
  
  You can achieve different weights by changing the sides of the weights.
  
  For instance, a three ounce weight on the right and a one ounce weight on the left would let you weigh two ounces on the left.
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