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?

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

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?

Answer 1

The equation $3x=24$ can be interpreted in the following way:

To solve for $x$, you would divide both sides of the equation by 3:

$$x=\frac{24}{3}=8$$

So, $x=8$. Let's analyze the options:

1. 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 fits the equation, as if Andrew lists 3 words each week, the number of weeks ($x$) he has been doing this would be $3x=24$, implying he has been doing this for 8 weeks.

2. 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 does not directly relate to $3x=24$ since it calculates the cost of shoes based on the cost of the shirt, not determining how many items were bought.

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

   • This situation does not fit $3x=24$, because it indicates they received 24 stickers each, not determining how many total stickers were equally divided.

4. 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 implies $\frac{1}{3}$ of the total students equals 24, and would form the equation $\frac{1}{3}y=24$ rather than $3x=24$.

The only option that directly corresponds to 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?