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Bonnie's favorite game at the arcade is Can Em Down. In the game, players earn 77 points for each can they knock down. Bonnie earned 8484 points in her best game.\newlineLet cc represent how many cans Bonnie knocked down. Which equation models the problem?\newlineChoices:\newline(A) 7c=847c = 84\newline(B) c7=84\frac{c}{7} = 84\newlineSolve this equation to find how many cans Bonnie knocked down.\newline____ cans\newline

Full solution

Q. Bonnie's favorite game at the arcade is Can Em Down. In the game, players earn 77 points for each can they knock down. Bonnie earned 8484 points in her best game.\newlineLet cc represent how many cans Bonnie knocked down. Which equation models the problem?\newlineChoices:\newline(A) 7c=847c = 84\newline(B) c7=84\frac{c}{7} = 84\newlineSolve this equation to find how many cans Bonnie knocked down.\newline____ cans\newline
  1. Understand problem, choose equation: Step 11: Understand the problem and choose the correct equation.\newlineBonnie earns 77 points for each can knocked down and scored 8484 points. So, the equation linking points and cans is points =7×= 7 \times cans. This matches equation (A) 7c=847c = 84, not (B) c/7=84c/7 = 84.
  2. Solve equation to find cans: Step 22: Solve the equation 7c=847c = 84 to find the number of cans Bonnie knocked down.\newlineDivide both sides of the equation by 77 to isolate cc.\newlinec=847c = \frac{84}{7}\newlinec=12c = 12