Question

People who are illegally parked in downtown Orlando may be issued $15 or $20 parking
tickets. At the end of the week, Officer Bob had issued 41 parking tickets that totaled
$655 in fines. How many $15 tickets and how many $20 tickets did Officer Bob write?

Answer 1

Answer:

• $15 tickets - 33, $20 tickets - 8

=================================

Let the number of $15 tickets is x and numbers of $20 tickets is y.

Set the system according to given information:

• x  + y = 41
• 15x + 20y = 655

Solve by elimination, multiply the first equation by 20 and subtract the second equation:

• 20x + 20y - 15x - 20y = 41*20 - 655
• 5x = 165
• x = 165/5
• x = 33

Find y:

• 33 + y = 41
• y = 41 - 33
• y = 8