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

Answer:d. 2x+3y=192 x+4y=148

Explanation:

Answer 2

For carson family,
2x + 3y = 192

For davis family,
x + 4y = 148

( x + 4y = 148 ) * 2
2x + 8y = 296

2x + 8y = 296
2x + 3y = 192

Subtract last equation from previous equation
5y = (296-192)
5y = 104
y = 20.8 dollars for one youth ticket

x = 148 - 83.2
x = 64.8 dollars for one adult ticket