Question

Several families are in line to enter a water park. The first family pays $54 for two adult tickets and two child tickets. The second family pays $105 for 3 adults and 5 children. What are the ticket prices for children?

Answer 1

adult tickets 15

child tickets 12

Explanation:

2x + 2y = 54 L1

3x + 5y = 105 L2

3L1 - 2L2

6x + 6y = 162

-6x - 10y = -210

-4y = -48

y = -48/-4

y = 12

2x + 2y = 54

2x +2(12) = 54

2x + 24 = 54

2x = 54 - 24

2x = 30

x = 15