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?

x+y=192
x+y=148

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

5x+5y=192
5x+5y=148

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

Answer 1

That would be the 4th one.

Answer 2

Answer: 2x + 3y = 192

x + 4y =148

Explanation:

The cost of an adult ticket is represented by x

The cost of a youth ticket is represented by y.

The Carson family paid $192 for two adult and three youth tickets to an amusement park. This will be;

2x + 3y = 192

At the same park, the Davis family paid $148 for one adult and four youth tickets. This will be:

x + 4y = 148

Together both will be:

2x + 3y = 192

x + 4y =148