# Algebra

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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?

• Algebra -

Set up two equations

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)

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