Question

Travis has decided to budget his spending money. He can spend no more than $143.15 every month. He has also decided to spend 5.2 times as much money on video games as he spends on movies. What linear inequality describes this problem?

Answer 1

This is an inequality equation because of the words "spend no more than"

Let:
x = amount he spends on movies
5.2x = amount he spends on video games

Amount spent on movies and video games should be less than or equal to $143.15

Equation would be:

x + 5.2x < 143.15
6.2x       < 143.15
÷6.2           ÷ 6.2  
     x       < 23.09

x should be less than $23.09. Let us assume that  x = 23.

x + 5.2x < 143.15

23 + 5.2(23) <  143.15
23 + 119.60 < 143.15
142.60         < 143.15   This makes the inequality true.

If x is more than 23.09, then Tom will exceed his budget.