At the archade, Ryan, Sara, and Tume played video racing games, pinball, and air hockey. Ryan spends $6 for 6 racing games, 2 pinball games, and 1 game of air hockey. Sara spend $12 for 3 racing games, 4 pinball games, and 5 games of air hockey. Time spent $12.25 for 2 racing games, 7 pinball games, and 4 games of air hockey. How much did each of the games cost?