A school fund raising event sold a total of 175 tickets and generated a total revenue of $564.50. There are two types of tickets Each adult ticket costs $6.40, and each child ticket costs $1.35.

Answer 1

Adult tickets sold is the variable a.

Child tickets sold is the variable c.

a + c = 175

6.40a + 1.35c = 564.50

The first equation can be rewritten as

c = 175 - a

Replace c in the second equation with what it is equal to

6.40a + 1.35(175 - a) = 564.50

Apply the distributive property

6.40a + 236.25 - 1.35a = 564.50

Combine like terms

5.05a + 236.25 = 564.5

5.05a = 328.25

a = 65

c = 175 -65

c = 110

The sold 65 adult tickets and 110 child tickets