Tickets to a movie cost 7.25 for adults and 5.50 for students. A group of friends purchased 8 tickets for 52.75. How many adult tickets and student tickets were purchased?

Answer 1

a is adult ticket and s is students ticket.We have the sistem of equations :

a+s=8 and 7.25a+5.50s=52.75. a+s=8⇔a=8-s so 7.25(s-8)+5.50s=52.75⇔58-7.25s+5.50s=52.75⇔

-1.75s=-5.25⇔s=3 students ticket and a=5 adults ticket