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Pick the story that can be modeled by the equation 8x=248x = 24.\newlineChoices:\newline(A)At a Memorial Day barbecue, Jared cooked xx hotdogs and 88 times as many hamburgers. He cooked 2424 hamburgers.\newline(B)At a Memorial Day barbecue, Jared opened a package of 2424 hotdogs and cooked xx of them. He wrapped up the remaining 88 hotdogs and put them back in the cooler.

Full solution

Q. Pick the story that can be modeled by the equation 8x=248x = 24.\newlineChoices:\newline(A)At a Memorial Day barbecue, Jared cooked xx hotdogs and 88 times as many hamburgers. He cooked 2424 hamburgers.\newline(B)At a Memorial Day barbecue, Jared opened a package of 2424 hotdogs and cooked xx of them. He wrapped up the remaining 88 hotdogs and put them back in the cooler.
  1. Understand the equation: Step 11: Understand the equation given and what it represents.\newlineThe equation 8x=248x = 24 suggests that one quantity is eight times another quantity, and their product is 2424.
  2. Analyze choice (A): Step 22: Analyze choice (A).\newlineIn choice (A), Jared cooked xx hotdogs and 88 times as many hamburgers, totaling 2424 hamburgers. This fits the equation 8x=248x = 24, where xx represents the number of hotdogs, and 8x8x represents the number of hamburgers.
  3. Analyze choice (B): Step 33: Analyze choice (B). In choice (B), Jared opened a package of 2424 hotdogs and cooked xx of them, then put 88 back in the cooler. This scenario does not fit the equation 8x=248x = 24 because it doesn't involve multiplying xx by 88 to equal 2424.

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