a group of friends plans to play board games during a game night they have an total of 6 hours for the game night if they have 4 games that they want to play how much time can they spend playing each game? useing t for time write and solve an inequantity for this sanario
what am I solving for and do it in steps
You are solving for the amount of time they can spend playing each game.
Let t represent the time they can spend playing each game.
Step 1: Write an inequality
1. The total time they have for game night is 6 hours.
2. They have 4 games to play.
3. Let x be the number of games they want to play.
4. The total time they spend playing each game must be less than or equal to the total time available.
5. The inequality is:
t * x ≤ 6
Step 2: Solve the inequality
6. Since they have 4 games to play:
t * 4 ≤ 6
7. Divide both sides by 4:
t ≤ 1.5
Therefore, they can spend a maximum of 1.5 hours playing each game.