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22 votes
22 votes
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?

User Pankaj
by
3.2k points

1 Answer

19 votes
19 votes

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
User Lisann
by
2.7k points