Jayden is playing games at an arcade where the machines take tokens. He can afford to buy up to 30 tokens. Skee ball requires 2 tokens per game and pinball requires 3 tokens per game.

Question

Select 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

Answer 1

To express the situation in terms of an inequality, we need to incorporate the given conditions regarding the number of tokens required for each game and the total number of tokens that Jayden can afford.

Jayden has up to 30 tokens to spend, and the number of tokens required for each game's type is as follows:

• Skee ball requires 2 tokens per game (which corresponds to \(2x\) for \(x\) games).
• Pinball requires 3 tokens per game (which corresponds to \(3y\) for \(y\) games).

We can set up the inequality that represents the total tokens used as follows:

\[ 2x + 3y \leq 30 \]

This inequality states that the total number of tokens used for both games (skee ball and pinball) must not exceed 30. Thus, the standard form of the inequality that describes the situation is:

2x + 3y ≤ 30.