The Carson family paid 192 dollars for two adult and three youth tickets to an amusement park. At the same park, the Davis family paid 148 dollars 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 the cost of each ticket?
Answer
A
the 2 by 1 column matrix row 1 x plus y is equal to 192 row 2 x plus y is equal to 148
B
the 2 by 1 column matrix row 1 2 x plus 3 y is equal to 192 row 2 x plus 4 y is equal to 148
C
the 2 by 1 column matrix row 1 2 x plus 3 y is equal to 192 row 2 4 x plus y is equal to 148
D
the 2 by 1 column matrix row 1 5 x plus 5 y is equal to 192 row 2 5 x plus 5 y is equal to 148
Explanation
The Carson family bought 2 adult tickets at x dollars each and 3 youth tickets at y dollars each, so their total is 2x + 3y = 192. The Davis family bought 1 adult ticket and 4 youth tickets, giving x + 4y = 148. Choice B shows exactly this system.
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