Question

Tickets to the school play are $5.00 for adults and $3.50 for students. If the total value of all the tickets sold was $2517.50 and 100 more student bought tickets than adults, how many adults amd students bought tickets

Answer 1

$x-\ adults\\ y-\ students\\\\ \left \{ {{5x+3.50y=2517.5} \atop {x+100=y}} \right.\\\\ 5x+3.5(x+100)=2517.5\\\\ 5x+3.5x+350=2517.5\ \ \ | subtract\ 350\\\\ 8.5x= 2167,5\ \ \ | divide\ by\ 8.5\\\\ x=255\\\\ y=355\\\\ There\ were\ 355\ student\ tickets\ and\ 255\ adult\ tickets.$