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

Answer 1

To express the situation with an inequality in standard form using the given variables, we need to account for the number of tokens used for each type of game.

1. **Define the variables**:
- Let \( x \) = the number of games of skee ball.
- Let \( y \) = the number of games of pinball.

2. **Token requirements**:
- Each game of skee ball requires 1 token, so the total tokens used for skee ball will be \( 1x \) (or just \( x \)).
- Each game of pinball requires 4 tokens, so the total tokens used for pinball will be \( 4y \).

3. **Total tokens available**:
- Jon can buy up to 32 tokens, which means the combined total tokens used for skee ball and pinball should not exceed 32.

4. **Setting up the inequality**:
\[
x + 4y \leq 32
\]

5. **Rearranging to standard form**:
The standard form of a linear inequality is typically written as \( Ax + By \leq C \). Here, we have:
\[
x + 4y \leq 32
\]
which is already in standard form.

Thus, the inequality that describes the situation is:
\[
x + 4y \leq 32
\]