Answer :
To determine how many games Peyton can buy, we need to consider the total budget and the costs of the gaming system and each game.
1. Understand the given costs:
- The system costs [tex]$175.
- Each game costs $[/tex]35.
- Peyton has a total of [tex]$350 to spend.
2. Set up the problem:
- Peyton needs to buy the gaming system and possibly some games with the total budget of $[/tex]350.
- Let [tex]\( x \)[/tex] be the number of games Peyton can buy.
3. Write the inequality:
- The total cost will be the sum of the gaming system cost and the cost of the games Peyton buys.
- The inequality that represents this situation is:
[tex]\[
175 + 35x \leq 350
\][/tex]
This means the cost of the system plus the cost of the games should not exceed $350.
4. Conclusion:
- The appropriate inequality to determine how many games Peyton can purchase is [tex]\(\boxed{175 + 35x \leq 350}\)[/tex].
1. Understand the given costs:
- The system costs [tex]$175.
- Each game costs $[/tex]35.
- Peyton has a total of [tex]$350 to spend.
2. Set up the problem:
- Peyton needs to buy the gaming system and possibly some games with the total budget of $[/tex]350.
- Let [tex]\( x \)[/tex] be the number of games Peyton can buy.
3. Write the inequality:
- The total cost will be the sum of the gaming system cost and the cost of the games Peyton buys.
- The inequality that represents this situation is:
[tex]\[
175 + 35x \leq 350
\][/tex]
This means the cost of the system plus the cost of the games should not exceed $350.
4. Conclusion:
- The appropriate inequality to determine how many games Peyton can purchase is [tex]\(\boxed{175 + 35x \leq 350}\)[/tex].
