To solve the equation \(3x = 24\), we can isolate \(x\) by dividing both sides by 3:
\[ x = \frac{24}{3} = 8 \]
Now let's examine each of the scenarios presented:
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Favorite Subject Survey: One-third of all surveyed said math is their favorite subject, and that number is 24. We can set this up as: \[ \frac{1}{3} \text{ (total surveyed)} = 24 \] This does not match \(3x = 24\).
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Rita and Stickers: If Rita bought stickers and divided them among herself and two friends, and each received 24 stickers, we can set up the equation as: \[ 3 \text{ (people)} \cdot x = 24 \] This simplifies to \(3x = 24\). This fits our equation.
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Andrew and Words: If Andrew lists three words every week and he has listed 24 words so far, the equation would be: \[ 3 \text{ (weeks)} \cdot x = 24 \] This simplifies to \(3x = 24\) and also fits our equation.
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Cost of Shoes: If the cost of a pair of shoes is three times the cost of a shirt, and the shirt costs $24, this scenario would be: \[ 3 \cdot 24 = x \text{ (cost of shoes)} \] This does not match \(3x = 24\).
Based on the analysis, both the scenario about Rita with stickers and Andrew listing words represent the equation \(3x = 24\).