To determine which scenario can be represented by the equation \(3x = 24\), we need to analyze each response:
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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 scenario suggests that one-third of the total number of students surveyed is 24. In equation form, this would be: \[ \frac{1}{3} \times \text{Total Students} = 24 \] This can be rearranged to \( \text{Total Students} = 3 \times 24 \), which is not represented by \(3x = 24\). -
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?
If the cost of the shoes is represented as \(3x\) where \(x\) is the cost of the shirt, and is equal to $24, then this scenario can be written as: \[ 3x = \text{cost of shoes} \] This is not represented correctly as the shirt's cost is given as $24, and thus would not give \(3x = 24\). -
Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
If each person received 24 stickers and there are three people, the total number of stickers can be represented as: \[ 3x = \text{Total Stickers} \] In this case, we already know each received 24 stickers so it would not fit \(3x = 24\). -
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 would mean the total number of words listed is \(3x = 24\), where \(x\) is the number of weeks. Re-arranging gives: \[ x = \frac{24}{3} = 8 \] This scenario fits the equation \(3x = 24\).
Thus, the correct response that can be represented by 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?
1 answer