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A sample of an iron and oxygen ore has a mass of 35.8 grams. The iron in the compound has a mass of 27.9 grams. What is the percent iron in the ore?

Correct answer: D. 78% Fe

  • A. 74% Fe
  • B. 75% Fe
  • C. 77% Fe
  • D. 78% Fe

Explanation

Percentage of iron = (mass of iron ÷ mass of ore) x 100 = (27.9 g ÷ 35.8 g) x 100 = 77.93%, which rounds to 78% Fe. Thus option d is correct. The closest alternative is c, 77% Fe, usually chosen when the decimal result is truncated instead of rounded.

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