MY code is working fine but when I input 95 tickets and then run the loop again and input 5 tickets the loop doesn't end

TICKET_PRICE = 10

tickets_remaining = 100  

#continuous loop to check for tickets remaining

while tickets_remaining >= 1:


# Output how many tickets are remaining using the ticket_remaining variable

  print("There are {} tickets remaining".format(tickets_remaining))

  # gather the user's name and assign it to a new variable

  name = input("what is your name? ")

  #prompt the user 
  ask = int(input("Hi {} how many tickets would you like ? ".format(name)))

  # calculate the price and quantity of the tickets
  total_price_quantity = TICKET_PRICE * ask

  #output the total
  print("The total will be £{}".format(total_price_quantity))

  # Prompt user if they want to proceed Y/N?
  proceed = input("Do you want to continue with Purchase ? " + ("Y/N "))

  #if they want to proceed
  #print out to the screen ~sold! to comfirm purchase
  if proceed.lower() == "y":
    remain_tickets = tickets_remaining - ask
    #decrement the tickets remaining by the number of tickets purchased
    print("Sold!! " + "There are {}".format(remain_tickets) + " Tickets remaining")
    #otherwise
  #Thank them by name
  else:
    print("Thank you {}".format(name))

  #Notify user that the tickets are sold out  
    print("Tickets are sold out!!")