Which of the scenarios accurately represents the equation 6x = 48?
Understand the Problem
The question asks to interpret the context of a simple algebraic equation 6x = 48 using various descriptions involving pencils and boxes. We must select the scenario that accurately represents the equation.
Answer
A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 48 grams.
Answer for screen readers
A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 48 grams.
Steps to Solve
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Analyze the first option: "A box had x pencils. Then 6 pencils were removed from the box. The box now has 48 pencils." This translates to the equation $x - 6 = 48$.
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Analyze the second option: "A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 48 grams." This translates to the equation $6x = 48$.
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Analyze the third option: "A box had x pencils. Then 6 more pencils were placed in the box. The box now has 48 pencils." This translates to the equation $x + 6 = 48$.
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Analyze the fourth option: "A box has 6 pencils. The pencils are aligned in 48 rows, with x pencils in each row." This translates to the equation $48x = 6$.
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Identify the correct scenario: The second option, "A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 48 grams," correctly represents the equation $6x = 48$.
A box has 6 pencils. Each pencil weighs x grams. The 6 pencils weigh a combined total of 48 grams.
More Information
The equation $6x = 48$ can be interpreted as 6 items each weighing $x$ units, totaling 48 units, and this is reflected in the correct answer, which is grams in this case.
Tips
A common mistake would be misinterpreting the wording and associating the wrong operations (addition, subtraction, multiplication) with the given variables. For example, confusing "6 pencils removed" with $6x$ instead of $x-6$.
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