Question

There are 8 tickets for a family to go to a concert. Adult tickets are $15 each and children’s tickets cost $10 each. The family spent $105. How many of each ticket did they buy?

Answer 1

Let...

a=number of adult tickets

c=number of children tickets

Equations:

a+c=8

15a+10c=105

Solve by substitution.

a+c=8 -----> a=8-c

15a+10c=105

15(8-c)+10c=105

120-15c+10c=105

120-5c=105

-5c=-15

c=3

a+3=8

a=5

answer: 3 children tickets and 5 adult tickets