Answer :
[tex]x-number \of\ adult\ tickets\\2x-number\ of\ students\ tickets\\\\1.75x+1.25\cdot2x=8.5\\1.75x+2.5x=8.5\\4.25x=8.5\ \ \ \ \ \ \ \ |:4.25\\x=2\\\\2\cdot2=4\\\\There\ were\ 2\ adult\ tickets\ and\ 4\ student\ tickets.[/tex]