student tickets are 5.00 and adult tickets are 8.00. They spent 118.00 and bought 20 tickets. how many of each did they buy

Question

The school is taking a field trip. Tickets are $5 for students and $8 for adults. If they spent $118 and bought 20 tickets, how many of each did they buy?

Answer 1

Let x = the number of student tickets

Let y = the number of adult tickets

 

x + y = 20        So, x = 20 - y

5x + 8 y = 118   Replace x with 20 - y

 

5(20 - y) + 8y = 118

100 - 5y + 8y = 118

100 + 3y = 118

           3y = 18

              y = 6 adult tickets

 

x = 20 - 6

x = 14 student tickets