Question

How many adult tickets were sold if each adult ticket sold was $6 and each student ticket was $4.50 and 260 tickets were sold for a total of $1404?

Answer 1

Adult tickets sold: 156

Explanation:

Adult ticket: x

Student ticket: y

x + y = 260 ===> -6(x + y = 260) ===> -6x -6y = -1560

6x + 4.5y = 1404 ===> 6x + 4.5y = 1404

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add the two equations to eliminate a variable: -1.5y = -156

divide by -1.5: y = 104

substitution to find x:

x + y = 260

x + 104 = 260

x = 156