Which of the following can be represented by the equation 3x = 24

To determine which scenario fits the equation \(3x = 24\), we can analyze each response:

1. 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?
   This can be represented by the equation \( \text{Cost of shoes} = 3 \times \text{Cost of shirt} \). It cannot be expressed as \(3x = 24\) where \(x\) would represent the cost of the shoes or the shirt.

2. 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 \( \frac{1}{3} x = 24 \), or \(x = 24 \times 3\). This does not fit \(3x = 24\).

3. 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?
   This can be represented by \(3x = 24\) where \(x\) represents the number of weeks, since \(3 \times \text{weeks} = 24\).

4. 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 by \(x/3 = 24\), or \(x = 24 \times 3\), which also does not fit \(3x = 24\).

The equation \(3x = 24\) can be represented by the scenario where 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?