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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?

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

1 answer

The equation \(3x = 24\) represents the situation where a quantity \(x\) is multiplied by 3 to equal 24.

  1. For Andrew: The equation can be rearranged to \(x = \frac{24}{3} = 8\). This means Andrew has been listing words for 8 weeks.

  2. For the survey: To find the total students surveyed, we would set up the equation \(x/3 = 24\) or \(x = 24 \times 3 = 72\). This scenario cannot be represented by \(3x = 24\) as it describes a different relationship.

  3. For the shoes: If the cost of a shirt is $24, then the equation represents the cost of the pair of shoes as \(3 \times 24 = 72\). This also describes a different relationship instead of the equation \(3x = 24\).

  4. For Rita: Here, if each person received 24 stickers, the equation translates to \(3x = 24\) when solved for the total stickers. This means Rita bought \(24 \times 3 = 72\) stickers.

Considering the scenarios, the equations that either directly use or can be derived from \(3x = 24\) are:

  • Andrew's situation (he has been doing this for 8 weeks)
  • Rita's situation (she bought 72 stickers)

The specific answer that can be represented by the equation \(3x = 24\) is Rita's situation.