2020 AMC 8 Problems/Problem 16
Revision as of 00:00, 18 November 2020 by Samrocksnature (talk | contribs) (Created page with "Solution 1: We notice that 3 lines pass through B, and 2 lines pass through all other points. In addition, we are given that <math>A+B+C+D+E+F=1+2+3+4+5+6=21</math>. This mean...")
Solution 1: We notice that 3 lines pass through B, and 2 lines pass through all other points. In addition, we are given that 
. This means that ![\[2A+3B+2C+2D+2E+2F=47\]](http://latex.artofproblemsolving.com/3/7/a/37a93a59d0a4bb98457d5da7f51fd8846aa1fc0f.png)
![\[2(A+B+C+D+E+F)+B=47\]](http://latex.artofproblemsolving.com/0/4/4/044cb9e5ca707b08bdad17530dc53fd7eecfdb20.png)
![\[2(21)+B=47\]](http://latex.artofproblemsolving.com/e/a/f/eaf9f2276734fceadf83971b1e96d749d1e61683.png)
![\[B=5\]](http://latex.artofproblemsolving.com/8/6/1/861d89dca5d7217489d806da18c029d34c5642c5.png)
~samrocksnature
