Question
Jon is playing games at an arcade where the machines take tokens. He can afford to buy up to 32 tokens. Skee ball requires 1 token per game and pinball requires 4 tokens per game. Write the inequality in standard form that describes this situation. Use the given numbers and the following variables. x = the number of games of skee ball y = the number of games of pinball
Answers
GPT-4o mini
To express the situation using the given variables, we need to account for the total number of tokens Jon can afford to buy for both skee ball and pinball.
- Let \( x \) be the number of games of skee ball.
- Let \( y \) be the number of games of pinball.
- Skee ball costs 1 token per game, so the total number of tokens spent on skee ball is \( x \).
- Pinball costs 4 tokens per game, so the total number of tokens spent on pinball is \( 4y \).
Since Jon can afford to buy up to 32 tokens in total, we can write the inequality that represents this situation:
\[
x + 4y \leq 32
\]
This is the inequality in standard form that describes the number of games of skee ball and pinball Jon can play with his tokens.
- Let \( x \) be the number of games of skee ball.
- Let \( y \) be the number of games of pinball.
- Skee ball costs 1 token per game, so the total number of tokens spent on skee ball is \( x \).
- Pinball costs 4 tokens per game, so the total number of tokens spent on pinball is \( 4y \).
Since Jon can afford to buy up to 32 tokens in total, we can write the inequality that represents this situation:
\[
x + 4y \leq 32
\]
This is the inequality in standard form that describes the number of games of skee ball and pinball Jon can play with his tokens.