To analyze the statements provided:
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"If a coin is a quarter, then it is worth 25 cents."
- This establishes that all quarters have a value of 25 cents.
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"If a coin is worth 25 cents, then 4 would make a dollar."
- This establishes a relationship between the value of coins and the total when combined.
Now, let's evaluate the options:
A. "If I have a coin, then I have a quarter."
- This is not a valid conclusion based on the premises. Not all coins worth 25 cents are quarters; for example, a dime is worth 10 cents and is not a quarter.
B. "If a coin is a quarter, then 4 would make a dollar."
- This is true but does not logically follow from the first statement alone. It is based on the second statement but does not directly bridge from the first.
C. "If it is worth 25 cents, it is a coin."
- This is not a guaranteed conclusion, as the value of 25 cents could refer to something other than a coin (e.g., representing value in a hypothetical situation).
D. "It is not possible to draw a conclusion."
- Given that the first statement specifically correlates being a quarter to having a value of 25 cents and that 4 of those coins (quarters) make a dollar, D is the most suitable option.
Therefore, the best conclusion, considering the relationships established, is:
D. It is not possible to draw a conclusion.
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