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Sophie Ruth is eating a 5050-gram chocolate bar which contains 30%30\% cocoa. How many grams of cocoa are in the chocolate?

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Full solution

Q. Sophie Ruth is eating a 5050-gram chocolate bar which contains 30%30\% cocoa. How many grams of cocoa are in the chocolate?
  1. Convert to Decimal: Write 30%30\% as a decimal.30%=30100=0.3030\% = \frac{30}{100} = 0.30
  2. Identify Expression for Cocoa: We know:\newline• Total weight of the chocolate bar: 5050 grams\newline• 30%30\% is equivalent to 0.300.30\newlineIdentify the expression for the amount of cocoa in grams.\newlinePercent ×\times Whole = Part\newlinePercent of cocoa ×\times Total weight of the chocolate bar = Weight of cocoa in grams\newline0.30×500.30 \times 50 represents the weight of cocoa in grams.
  3. Calculate Weight of Cocoa: We found: Weight of cocoa = 0.30×500.30 \times 50. Simplify 0.30×500.30 \times 50. 0.30×50=150.30 \times 50 = 15 There are 1515 grams of cocoa in the chocolate bar.

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