Question

The Carson family paid $192 for two adult and three youth tickets to an amusement park. At the same park, the Davis family paid $148 for one adult and four youth tickets. Let x represent the cost of an adult ticket, and let y represent the cost of a youth ticket. Which system of equations can be used to find ticket cost

Answer 1

I am assuming that you only want the equations and not the answer. So the equations are 2x + 3y = 192, and x + 4y = 148.

Answer 2

2x + 3y = 192, x + 4y = 148

Explanation:

Here x represents the cost of an adult ticket, and let y represent the cost of a youth ticket.

The payment for two adult and three youth tickets is $ 192,

⇒ 2x + 3y = 192

Also, the payment for one adult and four youth tickets is $ 148,

⇒ x + 4y = 148

Hence, the system of equations that will used to find the cost of tickets is,

2x + 3y = 192, x + 4y = 148