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

Question

?(1 point)
Responses

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?

Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?

Answer 1

To determine which scenario can be represented by the equation \(3x = 24\), let's analyze each option:

1. Andrew's words: The equation \(3x = 24\) would mean that Andrew has listed 3 words per week for \(x\) weeks, which leads to \(3 \times \text{(number of weeks)} = 24\). Solving for \(x\): \[ x = \frac{24}{3} = 8 \text{ weeks.} \] This scenario can be represented by \(3x = 24\).

2. Survey on favorite subjects: The equation does not represent one-third of the students. If \(x\) students were surveyed, it would be represented by \(\frac{1}{3}x = 24\), not \(3x = 24\).

3. Cost of shoes and shirts: This scenario states that the cost of shoes is three times the cost of the shirt, which can be represented as \( \text{Cost of shoes} = 3 \times 24 \). This does not fit \(3x = 24\) either.

4. Rita and stickers: If each friend received 24 stickers, then total stickers \( = 24 \times 3 = 72\). This scenario also doesn't fit \(3x = 24\).

Thus, the correct answer 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?