To determine which situation can be represented by the equation \(3x = 24\), we need to analyze each response:
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Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
- Here, if we let \(x\) represent the number of weeks, then the equation would be \(3x = 24\). This fits since it expresses that in \(x\) weeks, he picked \(3\) words per week, totaling \(24\) words.
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The cost of a pair of shoes is three times the cost of a shirt. If the cost of the shirt is $24, how much does the pair of shoes cost?
- In this case, if we let \(x\) be the cost of the shirt, we would have \(3(24) = 72\), which does not fit the equation \(3x = 24\).
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A survey was conducted to determine the favorite subject of seventh grade students. One-third of all surveyed, or 24 students, said math is their favorite subject. How many students were surveyed?
- This situation does not fit the equation, as it would require a different formulation (it would be \( \frac{1}{3}x = 24\)) rather than \(3x = 24\).
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Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
- In this case, if we let \(x\) represent the number of friends (who are 3 people total), the equation becomes \(3x = Total \), but it would not yield \(24\) with this equation.
Therefore, the response that can be represented by the equation \(3x = 24\) is:
Andrew picks three words from a dictionary every week and lists them in his notebook. So far, he has listed 24 words. How many weeks has Andrew been doing this?
1 answer