If 5 tickets cost $174.45 and 8 tickets cost $271.95, how much do 12 tickets cost?

Answer 1

Let x represent the cost per ticket and y represent the processing fee.

We have two equations based on the given information:

1. 5x + y = 174.45
2. 8x + y = 271.95

To solve for x and y, we can use the method of substitution or elimination (elimination seems more suitable in this case):

Subtract equation one from equation 2:

(8x + y) - (5x + y) = 271.95 - 174.45

3x = 97.5

x = 32.5

Now, substitute x back into one of the original equations to find y (I'm using equation 1):

5(32.5) + y = 174.45

162.5 + y = 176.45

y = 174.45 - 162.5

y = 11.95

To find the total cost for 12 tickets, multiply the number of tickets by the cost per ticket and add the processing fee:

12 tickets x 32.5/ticket + 11.95

12 x 32.5 + 11.95

390 + 11.95

$401.95

Answer 2

This question was posted twice. Use the linear regression feature on a calculator.

Ticket cost = 32.95 * ( number of tickets ) + 11.95

Presumably, the $11.95 is a service fee.

12 * 32.95 + 11.95 = $401.95