Final answer:
The problem states that Anna used 34 grams of iron in her second experiment, which is 16 grams more than twice the amount in her first experiment. None of the provided options (A) 2 grams, (B) 6 grams, (C) 8 grams, (D) 12 grams, when doubled and added to 16, result in 34 grams, indicating there may be an error in the question or the options given.
Step-by-step explanation:
The student's question is asking for help in determining the number of grams of iron filings Anna used in her first experiment. Given that in her second experiment she used 34 grams, which is 16 grams more than twice the amount in the first one, we can create an equation to solve for the initial amount. If we define x to be the amount of iron filings used in the first experiment, the equation based on the problem statement would be 34 grams = 2x + 16 grams.
By solving the equation, we subtract 16 from both sides to get 18 = 2x, which simplifies to x = 9. However, this result does not match any of the provided options. There seems to be a mistake in the problem or the options given. Assuming the options are correct and the problem is to find the correct match, we need to re-evaluate the options against the problem statement. Doubling the options and adding 16 should result in 34 grams. Using this method: Option A) 2*2+16=20 (not 34), Option B) 2*6+16=28 (not 34), Option C) 2*8+16=32 (not 34), finally, Option D) 2*12+16=40 (again not 34).
None of the answers provided in the options add up to 34 when applying the problem's conditions, suggesting a possible error in the question or the answer choices. The question may need to be reviewed for accuracy.