Answer: the price of one theme park ticket is $70
Explanation:
Let x represent the price of one theme park ticket.
Since the number if people that went for the theme park is 4, then the cost of tickets bought is $4x.
The family spent a total of $480 on tickets, food, and souvenirs. If 1/6 of their money spent was for souvenirs, then the amount spent on souvenirs is
1/6 × 480 = $80
If 1/4 of their money spent was for food, then the amount spent on food is
1/4 × 480 = $120
Therefore,
4x + 80 + 120 = 480
4x + 200 = 480
4x = 480 - 200 = 280
x = 280/4
x = $70