Question

At an arcade, Jaxon and Sarah each choose a game and play the same number of times. Jaxon starts with 14 tokens and chooses a game that costs 3 tokens. Sarah starts with 10 tokens and chooses a game that costs 2 tokens. When they leave, Sarah and Jaxon have the same number of tokens. What is the number of times each person played their game?

Answer 1

Jaxon and Sarah each played their game 4 times

Step-by-step explanation:

To find the number of times each person played their game, we need to set up and solve an equation. Let's let 'x' represent the number of times they both played their games.

Jaxon starts with 14 tokens and each game costs 3 tokens, so Jaxon has 14 - 3x tokens left after playing. Sarah starts with 10 tokens and each game costs 2 tokens, so Sarah has 10 - 2x tokens left after playing. Since they have the same number of tokens left, we can set up the equation 14 - 3x = 10 - 2x. Solving for x gives us x = 4.

Therefore, both Jaxon and Sarah played their game 4 times.