Question

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?

Answer 1

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.
:)