Sarah is playing tic-tac-toe. She wins $1 for every game she wins, $0 for every game she ties, and she loses $2 for every game she loses. If she played 100 games where she tied 40 of them, and she lost $30, how many games did she win? Let's think first. Chain of thought:
She either won or lost 60 games because 100 - 40 = 60. We know that 1(60 - Losses) - 2(Losses) = - 30 because she lost $30. Therefore 60 - Losses - 2 Losses = - 30. Therefore - 3 Losses = - 90. Therefore, Losses = 30.
Therefore, the answer is 30.