To solve the equation
Now, let's analyze each of the options to see which can be represented by this equation:
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Andrew's situation: 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?
- In this case,
represents the number of weeks, and since he picks 3 words each week, . This fits the equation.
- In this case,
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Rita's situation: Rita bought stickers and divided them among herself and two other friends. Each one received 24 stickers. How many stickers did Rita buy?
- Here, each of the three people receives 24 stickers, so
would imply is the number of stickers each person gets, which is not what the equation represents.
- Here, each of the three people receives 24 stickers, so
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Shoes and shirt 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?
- In this situation, if the shirt costs 24, we calculate the shoes as
, so it does not fit the equation for any variable .
- In this situation, if the shirt costs 24, we calculate the shoes as
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Survey result: 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, this does not directly fit
and is instead a different kind of equation relating to fractions.
- Here, this does not directly fit
Thus, the correct response 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?