Grades 9-10 Video Solutions 2014-Levels 9&10 Video Solutions 2014 problem18

Levels 9&10 Video Solutions 2014 problem18

Video Transcription

Video Summary

The chess player played 40 matches, scoring 25 points, with each win worth one point, and a draw half a point. Considering two cases: no draws with 25 wins leads to 15 losses, or 20 wins and 10 draws, resulting in 10 losses. Both scenarios show 10 more wins than losses. No other combinations satisfy the conditions without altering the total matches and points. Therefore, the number of matches won over losses is 10, supporting answer C as the only possibility.

Keywords

chess player

matches

wins

losses

points