Two families go skiing on a Saturday. One family purchases three adult lift tickets and four lift tickets for $188. Another family purchases four adult lift tickets and five youth lift tickets for $244. Let x represent the cost in dollars of one adult lift ticket and let y represent the cost in dollars of one youth lift ticket. Solve the linear system to find the cost of one adult and one youth lift ticket.
Accepted Solution
A:
Answer:using elimination to solve for x
9x +6y = 3*134 | Multiplying 1st equation by 3
-4x -6y = -2*146 | Multiplying 2nd equation by -2
5x = 3*134 - 2*146
5x = $110
x = $22, the cost of the youth ticket
Step-by-step explanation:This question Sets Up two equations with 2 unknowns
Let x and y represent the cost of the youth and adult ticket respectively
Question states***
3x + 2y = $134
2x + 3y = $146