The equation \(3x = 24\) can be solved by dividing both sides by 3:
\[ x = \frac{24}{3} = 8 \]
Now, let's analyze which scenario matches this solution:
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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 of the three friends received 24 stickers, then the total number of stickers is \(3 \times 24 = 72\). This does not match.
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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 shirt costs $24, then the cost of the shoes is \(3 \times 24 = 72\). This does not match.
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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?
- Here, if one-third of the surveyed students equals 24, then the total number of students surveyed is \(3 \times 24 = 72\). This does not match.
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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?
- If Andrew lists 3 words a week and has listed 24 words, the number of weeks he has been doing this is \( \frac{24}{3} = 8\). This matches the solution to the equation \(3x = 24\).
Therefore, the correct scenario 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