Two Milkmen of Sam Loyd

  1. It was the daily practice of a milkman to fill his two sixteen-gallon cans with pure milk before he started out to serve customers on four different streets, th e same number of quarts being delivered on each street.
    After serving the first street, he connected with the city water supply and, lo, his cans were again filled to the brim! Then he served street number two [the same number of quarts as the first street] and again backed up to the fount to replenish his cans as before.
    He proceeded in this way to serve the third and fourth streets. If forty quarts and one pint of pure milk remained in the cans after all his customers were attended to, how much pure milk must have been delivered on each of the four streets?
    [KD: There's no trick here, just pure math. Four quarts in a gallon, and two pints in a quart.]

  2. Two ladies each asked Honest John for two quarts of milk. One lady had a five-quart pail and the other had a four-quart pail. John had only two ten-gallon cans, each full of milk. How did he measure out exactly two quarts of milk for each lady? [KD: And what's the smallest number of pourings needed?]

Source: Mathematical Puzzles of Sam Loyd, 1960, #5, #23.

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