A group of friends want to go to the amusement park. They have $137.75 to spend on parking and admission. Parking is $15.25, and tickets cost $24.50 per person including tax. Write and solve an equation which can be used to determine x, the number of people who can go to the amusement park.

Once we have our total after subtracting 15.25, all we need to do is divide that number by 24.5 to see the number of people who can go to the amusement park.

Hope this helped!

Answer Link

facundo3141592 facundo3141592 · Answer 2 · 2022-01-27T11:29:48+01:00

By solving a linear equation we will see that 5 people can go to the amusement park.

How to write the linear equation?

We know that the friends have $137.75, and the parking costs $15.25, so after paying the parking they have:

$137.75 - $15.25 = $122.50

Now we know that each ticket costs $24.50, so if the friends pay for x tickets they will have y money left, given by the linear equation:

y = $122.50 - $24.50*x

To see the number of people that can go to the amusement park we need to solve the above equation for y = $0 (the case where they use all the money).

$0 = $122.50 - $24.50*x

$24.50*x = $122.50

x = $122.50/$24.50 = 5

So with that amount of money, 5 people can go to the amusement park.

If you want to learn more about linear equations, you can read:

https://brainly.com/question/1884491