A music concert was attended by 450 people. Adult tickets sold for $70 and children’s tickets for $40. If total sales were $27,750, how much of each ticket was sold?

Answer 1

Set up two equations

a = adults
c = children

70a + 40c = 27750
a + c = 450

Solve by substitution or elimination

Substitution:
70a + 40c = 27750
a = 450 - c

Elimination:
70a + 40c = 27750
-70(a + c) = -70(450)