Answer:the price of one adult ticket is $24.5
the price of one youth ticket is $20.5
Step-by-step explanation:
Let x represent the price of one adult ticket.
Let y represent the price of one youth ticket.
One family spends $131 on 2 adult tickets and 4 youth tickets at an amusement park. This means that
2x + 4y = 131 - - - - - - - - - -1
Another family spends $139 on 4 adult and 2 youth tickets at the same park. This means that
4x + 2y = 139 - - - - - - - - - - -2
Multiplying equation 1 by 4 and equation 2 by 2, it becomes
8x + 16y = 524
8x + 4y = 278
Subtracting
12y = 246
y = 246/12 = 20.5
Substituting y = 20.5 into equation 1, it becomes
2x + 4×20.5 = 131
2x + 82 = 131
2x = 131 - 82 = 49
x = 49/2 = 24.5
