a group of friends plans to play board games during a game night. they have a 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? using "t" form time, write and solve an inequality for this scenario.

Answer 1

To determine how much time can be spent on each game during a 6-hour game night with 4 games, we can define the following:

Let \( t \) be the time spent playing each game in hours.

Since there are 4 games and they have a total of 6 hours, the total time spent playing all the games can be expressed as:

\[ 4t \leq 6 \]

Now, we'll solve the inequality for \( t \).

1. Divide both sides by 4:

\[ t \leq \frac{6}{4} \]

2. Simplify the fraction:

\[ t \leq 1.5 \]

This means that each game can be played for a maximum of 1.5 hours.

So, the friends can spend up to 1.5 hours playing each game, which totals to 6 hours for the entire game night.