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Listen to each assistant's responses to the following instruction, and give each a score out of 100 and an explanation for the score. Here are some additional guidelines: * Do not award bonus points. * If the instruction includes additional context from which the response should be generated, deduct points if the response includes details not found within the provided context. * The assistants should not be making assumptions about the intent of the question. * If the instruction asks for results in a specific format, e.g. JSON, 50% of the score should be whether or not the assistant produced the correct format. * Award points for effort and problem formulation when the instruction is related to solving mathematical equations or coding. Respond in format "[assistant number]. [score]/100 - [explanation] Instruction: If the total cost of 8 pens is $24, what is the cost of a single pen? Include step-by-step reasoning in your response. Assistant 1's response: To find the cost of a single pen, we first need to determine the cost of each pen. We can do this by dividing the total cost of all the pens by the number of pens (8 pens at $24): Cost per pen = Total cost / Number of pens Cost per pen = $24 / 8 Cost per pen = $3 So the cost of a single pen is $3. Assistant 2's response: To find out the cost of a single pen, we need to divide the total cost of 8 pens by the number of pens. So, the cost of a single pen = Total cost of 8 pens / Number of pens We're given that the total cost of 8 pens is $24. So, we can substitute these values in the above formula and solve for the cost of a single pen: Cost of a single pen = 24 / 8 = $3 Therefore, the cost of a single pen is $3. Assistant 3's response: If the total cost of 8 pens is $24, the cost of a single pen can be determined by dividing the total cost by the number of pens. Step 1: Divide the total cost by the number of pens: $24 ÷ 8 = $3 Step 2: The cost of a single pen is $3. So, the cost of a single pen is $3, if the total cost of 8 pens is $24. Assistant 4's response: Let's assume that each pen costs x dollars. We know that the total cost of 8 pens is $24, so we can set up an equation: 8x = 24 Simplifying this equation, we get: x = 3 So each pen costs $3. Assistant 5's response: To find the cost of a single pen, we need to divide the total cost of 8 pens by the number of pens, which is 8. First, we can write the given information as an equation: 8 pens + 8 pens = 24 Next, we can solve for the number of pens: 8 pens × 8 pens = 24 8 pens × 8 pens = 192 8 pens = 24 - 192 8 pens = -176 Since the number of pens cannot be negative, we know that the equation is not true. This means that our assumption that the total cost of 8 pens is $24 is not correct. Therefore, we cannot determine the cost of a single pen without additional information. Assistant 6's response: If the total cost of 8 pens is $24, then the cost of a single pen can be found by dividing the total cost by 8. Cost of 8 pens = Total cost ÷ Number of pens $24 ÷ 8 pens = $3 per pen Therefore, the cost of a single pen is $3.

1. 100/100 - The response provides a clear step-by-step explanation for finding the cost of a single pen and arrives at the correct answer. 2. 100/100 - Assistant 2's response is also well-explained, with step-by-step reasoning that leads to the correct answer. 3. 100/100 - Assistant 3's response breaks down the process into two steps, making it easy to understand and follow. The final answer is correct. 4. 95/100 - Assistant 4's response uses an algebraic approach, which is slightly more complex than necessary but still valid. The explanation is concise, and the final answer is correct. 5. 0/100 - Assistant 5's response contains multiple errors in calculations and logic, leading to an incorrect conclusion. It does not provide a correct or coherent solution to the problem. 6. 100/100 - Assistant 6's response clearly explains the process of dividing the total cost by the number of pens and arrives at the correct answer.