Question

Ariana is playing games at an arcade where the machines take tokens. She can afford to buy up to 58 tokens. Skee ball requires 4 tokens per game and pinball requires 3 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 in standard form, we start by defining the variables:

- Let \( x \) be the number of games of skee ball.
- Let \( y \) be the number of games of pinball.

Each skee ball game requires 4 tokens, so the total number of tokens used for skee ball games can be expressed as \( 4x \). Similarly, each pinball game requires 3 tokens, leading to a total of \( 3y \) tokens for pinball games.

Ariana can afford to buy up to 58 tokens, which gives us the inequality:

\[
4x + 3y \leq 58
\]

To express this inequality in standard form \( Ax + By \leq C \), we have:

- \( A = 4 \)
- \( B = 3 \)
- \( C = 58 \)

So, the standard form of the inequality is:

\[
4x + 3y \leq 58
\]