The Spring Valley PTA plans a day at the amusement park for the elementary school. The rides at the park are classified as A rides and more expensive Brides. The PTA can obtain discounts by purchasing books of tickets. The MiniPacket contains eight A tickets and two B tickets and costs $19. The MidPacket contains seven A tickets and seven B tickets and costs $30. The MaxiPacket contains six A tickets and 14 B tickets and costs $45. The PTA needs to purchase a total of 260 A tickets and 175 B tickets. Find the number of each packet that should be purchased to minimize costs.