Grades 9-10 Video Solutions 2021-video 2021 9-10/29

Video Transcription

Video Summary

Christina has 8 coins with distinct positive integer weights. In any scenario where 2 coins are balanced against another 2 on a scale, the side with the heaviest coin always outweighs the other. The task is to determine the smallest possible weight of the heaviest coin. By methodically choosing and calculating weights, it is shown that for coins labeled A (lightest) to H (heaviest), the smallest weight for H ensuring the conditions is 34 grams. This follows the Fibonacci sequence approach. Therefore, the smallest possible weight of the heaviest coin is 34.

Keywords

coins

weights

Fibonacci

balance

heaviest