Answer :
To find out how many games Peyton can buy, we need to consider the amount available to spend, the cost of the gaming system, and the cost of each game.
1. Determine the total budget: Peyton has [tex]$350 to spend overall.
2. Identify the cost of the gaming system: The gaming system costs $[/tex]175.
3. Determine the cost of each game: Each game costs [tex]$35.
4. Set up the inequality:
- Start by accounting for the cost of the system: $[/tex]350 minus [tex]$175 leaves the amount Peyton can spend on games.
- If x is the number of games Peyton buys, the total cost of the games would be $[/tex]35 times x, or [tex]$35x.
- The cost of the system plus the cost of the games should not exceed the total budget.
5. Formulate the inequality:
- The inequality is set up as:
\[
175 + 35x \leq 350
\]
- This inequality captures the requirement that the total cost of the system and the games must not exceed $[/tex]350.
With this inequality, you can determine the maximum number of games Peyton can purchase while staying within budget.
1. Determine the total budget: Peyton has [tex]$350 to spend overall.
2. Identify the cost of the gaming system: The gaming system costs $[/tex]175.
3. Determine the cost of each game: Each game costs [tex]$35.
4. Set up the inequality:
- Start by accounting for the cost of the system: $[/tex]350 minus [tex]$175 leaves the amount Peyton can spend on games.
- If x is the number of games Peyton buys, the total cost of the games would be $[/tex]35 times x, or [tex]$35x.
- The cost of the system plus the cost of the games should not exceed the total budget.
5. Formulate the inequality:
- The inequality is set up as:
\[
175 + 35x \leq 350
\]
- This inequality captures the requirement that the total cost of the system and the games must not exceed $[/tex]350.
With this inequality, you can determine the maximum number of games Peyton can purchase while staying within budget.
