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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) 3g+2=353g + 2 = 35\newline(B) 2(g+3)=352(g + 3) = 35\newline(C) 3(g+2)=353(g + 2) = 35\newline(D) 2g+3=352g + 3 = 35\newlineHow many games of Balloon Bouncer did Amy play?\newline___\_\_\_ games

Full solution

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) 3g+2=353g + 2 = 35\newline(B) 2(g+3)=352(g + 3) = 35\newline(C) 3(g+2)=353(g + 2) = 35\newline(D) 2g+3=352g + 3 = 35\newlineHow many games of Balloon Bouncer did Amy play?\newline___\_\_\_ games
  1. Understand the problem: Understand the problem.\newlineAmy used 22 tokens for the game of Roll-and-Score. She then played Balloon Bouncer, which costs 33 tokens per game, until she ran out of tokens. She had a total of 3535 tokens. We need to find out how many games of Balloon Bouncer she played.
  2. Translate the problem: Translate the problem into an equation.\newlineAmy used 22 tokens initially, so we subtract those from the total. For each game of Balloon Bouncer, she used 33 tokens. If gg represents the number of games she played, then the cost for gg games is 3g3g tokens. The equation representing the situation is the initial 22 tokens plus the cost of gg games of Balloon Bouncer, which equals the total number of tokens Amy had.\newlineThe equation is 3g+2=353g + 2 = 35.
  3. Identify the correct equation: Identify the correct equation from the given choices.\newlineThe correct equation that represents the situation is (A)3g+2=35(A) 3g + 2 = 35.
  4. Solve the equation: Solve the equation to find the number of games Amy played.\newlineWe have the equation 3g+2=353g + 2 = 35. To solve for gg, we first subtract 22 from both sides of the equation to isolate the term with gg.\newline3g+22=3523g + 2 - 2 = 35 - 2\newline3g=333g = 33\newlineNext, we divide both sides by 33 to solve for gg.\newline3g3=333\frac{3g}{3} = \frac{33}{3}\newlineg=11g = 11