Question

Deion spent his first 8 tokens at Cyber Cavern Arcade on a game of air hockey. Then he played his favorite game, Ancient Asteroids, over and over until he ran out of tokens. Ancient Asteroids costs 3 tokens per game, and Deion started with a bucket of 65 game tokens.
) Which equation can you use to find g, how many games of Ancient Asteroids Deion played?
39 + 8 = 65
89 + 3 = 65
^
8(g + 3) = 65
3(g + 8) = 65

Answer 1

To find the number of games \( g \) that Deion played of Ancient Asteroids, we can start with the total number of tokens he had initially, which is 65.

Deion spent 8 tokens on air hockey, so he has \( 65 - 8 = 57 \) tokens left to spend on Ancient Asteroids. Each game of Ancient Asteroids costs 3 tokens. Therefore, we can express the total number of tokens used for the games he played as \( 3g \).

This gives us the equation:
\[
3g = 57
\]

If we rearrange this equation to relate it back to the total amount of tokens he had, we can also express it as:
\[
g + 8 = \frac{65}{3}
\]

However, based on your provided options, the equation that matches and can be used to find \( g \) (the number of games he played) would be:
\[
3(g + 8) = 65
\]

This equation is logically represented, as it shows that the total number of tokens spent on games (including the 8 tokens already spent) adds up to the original amount of tokens.

Thus, the correct choice is:
\[
3(g + 8) = 65
\]