Let's analyze each scenario to determine which one can be represented by the equation \( 3x = 24 \):
1. **Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?**
- Here, if each person received 24 stickers, and there are three people in total (Rita + 2 friends), then the total number of stickers Rita bought would be \( 3 \times 24 \). This situation does not fit the equation \( 3x = 24 \).
2. **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 Andrew lists 3 words per week and has 24 words in total, we can represent the number of weeks as \( x \). The equation would be \( 3x = 24 \). Solving for \( x \) tells us how many weeks Andrew has been doing this: \( x = 24/3 = 8 \) weeks. This situation fits the equation \( 3x = 24 \).
3. **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?**
- Here, if one-third of the surveyed students equals 24, then the total number of students surveyed can be represented by \( x \). The equation would be \( (1/3)x = 24 \), which can be rewritten as \( x/3 = 24 \). Solving for \( x \) gives \( x = 3 \times 24 = 72 \) students. This situation does not directly match \( 3x = 24 \) since it results in \( x/3 = 24 \).
4. **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, if the cost of the shoes is three times the cost of the shirt, and the shirt costs \( x \), then the cost of the shoes is \( 3 \times 24 \). This situation is not represented by \( 3x = 24 \) but rather \( 3 \times 24 = 72 \).
Given the analysis, only the scenario involving Andrew and the dictionary words can be represented by the equation \( 3x = 24 \):
**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?**
Which of the following can be represented by the equation 3x = 24
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
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?
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?
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?
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?
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 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?
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