Given:
monthly budget = 155.60
cost of movies = x
cost of video games = 2.5x
movies + vidgames < budget
x + 2.5x < 155.60
3.5x < 155.60 *expression of inequality
3.5x < 155.60
÷3.5 ÷3.5
x < 44.46
Travis should spend less than 44.46 on movies.
Assuming movie cost 44.
x + 2.5x < 155.60
44 + 2.5(44) < 155.60
44 + 110 < 155.60
154 < 155.60