Travis has decided to budget his spending money. He can spend no more than $155.60 every month. He has also decided to spend 2.5 times as much money on video games as he spends on movies. What linear inequality describes this problem?

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