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Jackson and Sarah are collecting gems in the online multiplayer game Blaze Beams. Jackson joins early and earns 33 gems per minute. He gathers 3636 gems by the time Sarah joins. Sarah, the more experienced player, earns 77 gems per minute. Soon, she catches up to Jackson and the two have the same number of gems.\newlineWhich equation can you use to find mm, the number of minutes it takes for Sarah to catch up to Jackson?\newlineChoices:\newline(A) 36+3m=7m36 + 3m = 7m\newline(B) 3m+7=36m3m + 7 = 36m\newlineHow long does it take Sarah to catch up to Jackson?\newlineSimplify any fractions.\newline____ minutes\newline

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Q. Jackson and Sarah are collecting gems in the online multiplayer game Blaze Beams. Jackson joins early and earns 33 gems per minute. He gathers 3636 gems by the time Sarah joins. Sarah, the more experienced player, earns 77 gems per minute. Soon, she catches up to Jackson and the two have the same number of gems.\newlineWhich equation can you use to find mm, the number of minutes it takes for Sarah to catch up to Jackson?\newlineChoices:\newline(A) 36+3m=7m36 + 3m = 7m\newline(B) 3m+7=36m3m + 7 = 36m\newlineHow long does it take Sarah to catch up to Jackson?\newlineSimplify any fractions.\newline____ minutes\newline
  1. Identify Equation: Question Prompt: How long does it take for Sarah to catch up to Jackson in collecting gems?
  2. Solve Equation: Step 11: Identify the correct equation to represent the situation.\newlineJackson has a head start of 3636 gems and earns 33 gems per minute. Sarah earns 77 gems per minute. The equation to find when Sarah catches up to Jackson is:\newline36+3m=7m36 + 3m = 7m, where mm is the number of minutes after Sarah starts playing.
  3. Divide and Solve: Step 22: Solve the equation 36+3m=7m36 + 3m = 7m. Subtract 3m3m from both sides to isolate terms with mm on one side: 36=4m36 = 4m.
  4. Divide and Solve: Step 22: Solve the equation 36+3m=7m36 + 3m = 7m. Subtract 3m3m from both sides to isolate terms with mm on one side: 36=4m36 = 4m. Step 33: Divide both sides by 44 to solve for mm. 364=m\frac{36}{4} = m, m=9m = 9.

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