after gwen, tristan, and keith finish exercising, they go to the fair. at the fair, they each pay the entry fee and also buy tickets they can use for food or rides. gwen pays the entry fee and buys 10 tickets. it costs her a total of $30. tristan pays the entry fee and buys 15 tickets. it costs him a total of $40. keith pays the entry fee and buys 10 tickets. it costs him a total of $30. in this task, you will create a system of equations and find the cost of each ticket. let x represent the entry fee and y represent the cost of each ticket in dollars.

write an equation representing how much gwen paid.

Let x represent the entry fee and y represent the cost of each ticket in dollars.

Gwen pays the entry fee and buys 10 tickets. It costs her a total of $30.

      ....(1)

Tristan pays the entry fee and buys 15 tickets.It costs him a total of $40.

    .....(2)

Keith pays the entry fee and buys 10 tickets. It costs him a total of $30.

   .....(3)

Considering equations 1 and 2. Subtracting 1 from 2 to eliminate x,we get;

y = 2

So, the cost of each ticket is $2.

As

We will find x

x = 10

So, entry fee is $10.

we'll this would mean that the dunk tank and the bounce house are the same for 20 hours because the 2 represents that the two activities, and the 20 represents the amount of hours they both are. so with this said, it means that the answer is c. the costs for a dunk tank and bounce house are the same for 20 hours.

c.the costs for a dunk tank and bounce house are the same for 20 hours.

hope this .