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Answer :
The correct answer is option C (8:20), as it is the only ratio that simplifies to the original ratio of 2:5, corresponding to the same relationship between the amount of creamer and the total amount used to make the beverage.
The student is asking to find a ratio equivalent to 2 tablespoons (tbsp) of creamer for every 5 tbsp to make a beverage. To solve this mathematically, we can set up a proportion to find which of the provided options represents the same ratio as 2:5.
- Option A (3:6) simplifies to 1:2, which is not equivalent to 2:5.
- Option B (10:4) simplifies to 5:2, which is the inverse of 2:5, hence not equivalent.
- Option C (8:20) simplifies to 2:5, which is equivalent to the original ratio.
- Option D (4:25) does not simplify to the same ratio as 2:5.
Therefore, the correct answer is option C (8:20) because it is the only ratio that simplifies to 2:5, preserving the relationship between the amount of creamer and the total amount used to make the beverage.
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