Amy used her first $2$ tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs $3$ tokens per game, and Amy started with a bucket of $35$ game tokens. $\newline$ Which equation can Amy use to find how many games of Balloon Bouncer, $g$ , she played? $\newline$ Choices: $\newline$ (A) $2g + 3 = 35$ $\newline$ (B) $3(g + 2) = 35$ $\newline$ (C) $2(g + 3) = 35$ $\newline$ (D) $3g + 2 = 35$ $\newline$ How many games of Balloon Bouncer did Amy play? $\newline$ ____ games

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Solve two-step equations: word problems

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Q. Amy used her first

2

tokens at Glimmer Arcade to play a game of Roll-and-Score. Then she played her favorite game, Balloon Bouncer, over and over until she ran out of tokens. Balloon Bouncer costs

3

tokens per game, and Amy started with a bucket of

35

game tokens.

\newline

Which equation can Amy use to find how many games of Balloon Bouncer,

g

, she played?

\newline

Choices:

\newline

(A)

2g + 3 = 35

\newline

(B)

3(g + 2) = 35

\newline

(C)

2(g + 3) = 35

\newline

(D)

3g + 2 = 35

\newline

How many games of Balloon Bouncer did Amy play?

\newline

____ games

Identify Tokens: Identify the total tokens and the tokens used initially. $\newline$ Amy used $2$ tokens for Roll-and-Score and has $35$ tokens in total. So, tokens left for Balloon Bouncer = $35 - 2 = 33$ .
Determine Cost Equation: Determine the cost per game and set up the equation. $\newline$ Balloon Bouncer costs $3$ tokens per game. Let $g$ be the number of games she played. The equation is $3g + 2 = 35$ , where $2$ represents the initial $2$ tokens used.
Solve for Games: Solve the equation for $g$ . $\newline$ Subtract $2$ from both sides: $3g + 2 - 2 = 35 - 2$ , $\newline$ $3g = 33$ , $\newline$ Divide both sides by $3$ : $g = \frac{33}{3}$ , $\newline$ $g = 11$ .