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

?(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?

1 answer

The equation \(3x = 24\) can be solved for \(x\) by dividing both sides by 3:

\[ x = \frac{24}{3} = 8 \]

This means that \(x\) equals 8.

Now let's look at the options provided to determine which scenario corresponds to the equation:

  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 scenario can be represented by the equation \(3x = 24\). Here, \(x\) represents the number of weeks, and since Andrew picks 3 words each week, \(3x\) equals the total number of words listed (24).
  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 situation is not represented by \(3x = 24\) because it would be represented by \(x = 24\) (the cost of the shirt) and then multiplying by 3 for the shoes.
  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 would be represented by \(3x = y\), where \(y\) is the total number of stickers, not directly fitting the equation \(3x = 24\).
  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 would be represented by \( \frac{1}{3}x = 24\), so it does not fit \(3x = 24\).

Therefore, the scenario that can be represented by the equation \(3x = 24\) is the first one regarding Andrew and his words.

Answer: 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?