To determine which of the scenarios can be represented by the equation \(3x = 24\), we need to analyze each option:
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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?
- Here, there are 3 people (Rita and two friends), each receiving 24 stickers. This can be modeled by \(3 \times 24 = 72\), which does not match \(3x = 24\).
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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?
- Let \(x\) be the number of weeks. The relationship can be expressed as \(3x = 24\) because \(3\) words per week multiplied by \(x\) weeks equals \(24\) words listed. This matches \(3x = 24\).
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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?
- Here, the relationship is \(3 \times 24 = 72\), which gives the cost of the shoes but does not fit \(3x = 24\).
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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 modeled as \(\frac{1}{3}x = 24\), which is not the same as the equation \(3x = 24\).
From the analysis, 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