Round 160:
elybelly wrote:Five Grundos took turns weighing themselves on a scale. However, they weighed each other two at a time, ten times total , so that every possible combination of two grundos was weighed. The scale had the following readouts for the pairs: 236 pounds, 244 pounds, 228 pounds, 250 pounds, 258 pounds, 230 pounds, 246 pounds, 238 pounds, 242 pounds, and 252 pounds.
How heavy was the heaviest Grundo?
This is a variant of the classic "haybales" or "pumpkins" problem.
. . . . .Ask Dr. Math: Weighing Bales of Hay (1997)
. . . . .Ask Dr. Math: Weighing Bales of Hay (1996)
Note that the weights in this puzzler, in order, are:
. . . . .228, 230, 236, 238, 242, 244, 246, 250, 252, 258
Then follow the methodology of the above (or other) examples.
Eliz.