Question

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.

Answer 1

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