College

You use 24 tokens to play arcade games that each cost 4 tokens. Your friend uses 21 tokens to play arcade games that each cost 3 tokens.

Do you and your friend play the same number of games?

Answer :

To determine if you and your friend play the same number of arcade games, let's go through the problem step by step:

1. Calculate the number of games you play:
- You have 24 tokens.
- Each game costs 4 tokens.
- To find out how many games you can play, divide the total number of tokens by the cost per game:
[tex]\[
\text{Number of games you play} = \frac{24}{4} = 6
\][/tex]

2. Calculate the number of games your friend plays:
- Your friend has 21 tokens.
- Each game costs 3 tokens.
- To find out how many games your friend can play, divide the total number of tokens by the cost per game:
[tex]\[
\text{Number of games your friend plays} = \frac{21}{3} = 7
\][/tex]

3. Compare the number of games played:
- You played 6 games.
- Your friend played 7 games.

Since you played 6 games and your friend played 7 games, you and your friend did not play the same number of games. The result is that you played different numbers of games.