Answer :

luana
[tex]x-\ blue\ beads\\\\ y-\ red\ beats\\\\ x=6y\\\\ x+y=49\\\\ 6y+y=49\\\\ 7y=49\ \ \ \ | divide\ by\ 7\\\\ y=7\\\\ x=42\\\\ Ivan\ has\ 42\ blue\ beads.[/tex]