Grades 11-12 Video Solutions 2022-2022_11-12

Video Transcription

Video Summary

The video transcript describes a math problem involving seat arrangement in a stadium. North Barrican fans occupy 11 seats per row, and South Barrican fans occupy 14 seats per column, leaving 17 seats vacant. The challenge is to determine the minimum number of seats using given conditions and equations. By equating two ways of counting seats (\(r \cdot c\) and \(11r + 14c + 17\)), the problem is transformed using Simon's favorite factoring trick. By testing integer solutions for \(r\) and \(c\) that minimize \(r \cdot c\), the smallest possible seat count is found to be 660.

Keywords

math problem

seat arrangement

Simon's favorite factoring trick

integer solutions

smallest seat count