Question

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?..

Answer 1

2.5×m+m≤155.60

M= how much money he spends on movies

Answer 2

Let the amount of money Travis spends on movies be $
`x`.

Then the amount of money spent on video games will be
`2.5 * x=2.5x`.

We were told that Travis can spend no more than $
`155.60`.

The key word no more than means less than or equal to.

This means that, when we add the total money spent on movies and video games we should get something less or equal to $
`155.60`.

Hence, the inequality that describes the problem is given by;

`x+2.5x \le 155.6`