Question

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.
Write an equation representing how much Tristan paid.
Write an equation representing how much Keith paid.

Answer 1

Step-by-step explanation:

Let x represents the entry fees

y represent the cost of each ticket

Gwen equation

x + 10y = 30 ... (i)

Tristan equation

x + 15y = 40 ...... (ii)

Keith equation

x + 10y = 30 .......... (iii)

By solving eq. (ii) and (iii), we get

x = 10

y = 2

Hence entry fees = $10

cost of each ticket = $2

PLEASE MARK ME AS BRAINLIEST AS IT WILL HELP ME IN ACHIEVING NEXT LEVEL.

THNX IN ADVANCE.

Answer 2

As we know that,

Given :

Gwen buys $10$ tickets. It costs her a total of $$30$.

Tristan buys $15$tickets. It costs him a total of $$40$.

Keith buys $10$ tickets. It costs him a total of $$30$.

Find out :

Cost of each ticket.

Let us :

As we know that represents the entry fees,

While representing the cost of each ticket

So,

The Gwen equation is,

$x + 10y = 30 ... (i)$

The Tristan equation is,

$x + 15y = 40 ...(ii)$

The Keith equation is,

$x + 10y = 30 ... (iii)$

By solving  the $eq (ii)$ and  $eq (iii)$  

we can get,

$x = 10$

$y = 2$

So that the entry fee is $=$ $$10$  and  the cost of each ticket is