To determine which of the situations can be represented by the equation \(3x = 24\), we need to analyze each option:
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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?
- The equation can be set up as \(3 \times \text{(number of weeks)} = 24\), which simplifies to \(3x = 24\).
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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 can be represented as \(\frac{1}{3}x = 24\), which does not match \(3x = 24\).
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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?
- This can be represented as \(3 \times \text{(number of stickers each received)} = x\) or \(x = 3 \times 24\), which does not match \(3x = 24\).
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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?
- The shoes can be represented as \(3 \times 24 = \text{cost of shoes}\), which also does not match \(3x = 24\).
The only situation that directly corresponds to the equation \(3x = 24\) is the first one about Andrew picking words.
Answer: 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?