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Amy used her first 22 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 33 tokens per game, and Amy started with a bucket of 3535 game tokens.\newlineWhich equation can Amy use to find how many games of Balloon Bouncer, gg, she played?\newlineChoices:\newline(A) 2g+3=352g + 3 = 35\newline(B) 3g+2=353g + 2 = 35\newline(C) 2(g+3)=352(g + 3) = 35\newline(D) 3(g+2)=353(g + 2) = 35\newlineHow many games of Balloon Bouncer did Amy play?\newline____ games

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Q. Amy used her first 22 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 33 tokens per game, and Amy started with a bucket of 3535 game tokens.\newlineWhich equation can Amy use to find how many games of Balloon Bouncer, gg, she played?\newlineChoices:\newline(A) 2g+3=352g + 3 = 35\newline(B) 3g+2=353g + 2 = 35\newline(C) 2(g+3)=352(g + 3) = 35\newline(D) 3(g+2)=353(g + 2) = 35\newlineHow many games of Balloon Bouncer did Amy play?\newline____ games
  1. Identify Starting Tokens: Identify the total number of tokens Amy started with and the number of tokens she used for the first game.\newlineAmy started with 3535 tokens and used 22 tokens for the first game of Roll-and-Score.
  2. Calculate Remaining Tokens: Calculate the remaining tokens after playing Roll-and-Score. Amy had 3535 tokens and used 22, so she had 352=3335 - 2 = 33 tokens left for Balloon Bouncer.
  3. Cost per Balloon Bouncer Game: Identify the cost per game of Balloon Bouncer.\newlineBalloon Bouncer costs 33 tokens per game.
  4. Equation for Balloon Bouncer Games: Write an equation to represent the number of games of Balloon Bouncer, gg, Amy could play with the remaining tokens.\newlineThe cost per game is 33 tokens, and she has 3333 tokens left, so the equation is 3g=333g = 33.
  5. Solve for Number of Games: Solve the equation for gg to find out how many games of Balloon Bouncer Amy played. Divide both sides of the equation by 33 to get g=333g = \frac{33}{3}, which simplifies to g=11g = 11.
  6. Verify Equation Choice: Verify the equation choice from the given options.\newlineThe correct equation that represents the situation is 3g+2=353g + 2 = 35, which is option (B)(B). This is because Amy used 22 tokens first and then 33 tokens for each game of Balloon Bouncer.