Tyler needs at least $305 for a new video game system. He has already saved $55. He earns $10 an hour at his job. Write and solve an inequality to find how many hours he will need to work to buy the system?

The first step for creating our expression is to know that $10 is the amount that depends on how many hours he works. This means that $10 will have an x variable by it. Since we are trying to get a total of $305,, the expression will equal to it and $55 will be our constant. This looks like the following:
55 + 10x = 305
Now we can start to solve by moving the constant to the right side of the equation and then change its sign.
10x = 305 - 55
Subtract the numbers on the right side of the equals sign.
10x = 250
Finally,, divide both sides of the equation by 10 to get your final answer.
x = 25
This means that Tyler needs to work 25 hours in order to buy the video game system.
Let me know if you have any further questions.
:)