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Sophie Ruth is eating a 50 -gram chocolate bar which contains 
30% cocoa. How many grams of cocoa are in the chocolate bar?

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

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 bar?
  1. Identify Whole and Percent: Identify the Whole and the Percent in the given problem.\newlineThe whole is the total weight of the chocolate bar, which is 5050 grams. The percent is the cocoa content in the chocolate bar, which is 30%30\%.
  2. Convert to Decimal: Convert the percent to a decimal to use in calculations.\newlineTo convert a percentage to a decimal, divide by 100100. So, 30%30\% becomes 0.300.30.\newlineCalculation: 30%/100=0.3030\% / 100 = 0.30
  3. Calculate Part: Calculate the Part, which is the amount of cocoa in the chocolate bar.\newlineUsing the formula: Percent (as a decimal)×Whole=Part\text{Percent (as a decimal)} \times \text{Whole} = \text{Part}, we can find the amount of cocoa.\newlineCalculation: 0.30×500.30 \times 50 grams = 1515 grams
  4. Verify Calculation: Verify the calculation to ensure there are no math errors.\newlineRe-calculation: 0.30×500.30 \times 50 grams = 1515 grams\newlineThe calculation is correct and matches the previous result.

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