A family of four went to a theme park and spent a total of $480 on tickets, food, and souvenirs. 1/6 of their money spent was for souvenirs. 1/4 of their money spent was for food. What is the price of one theme park ticket?

the price of one theme park ticket is $70

Step-by-step 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

associative property of multiplication