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At the craft store, Darell bought a bag of red and orange marbles. He received 100100 marbles in all. 6060 of the marbles were red. What percentage of the marbles were red?\newlineWrite your answer using a percent sign (%\%).\newline___\_\_\_

Full solution

Q. At the craft store, Darell bought a bag of red and orange marbles. He received 100100 marbles in all. 6060 of the marbles were red. What percentage of the marbles were red?\newlineWrite your answer using a percent sign (%\%).\newline___\_\_\_
  1. Identify marbles: Identify the total number of marbles and the number of red marbles Darell bought.\newlineTotal marbles: 100100\newlineRed marbles: 6060\newlineWe need to find the percentage of red marbles.
  2. Calculate percentage: Use the percentage formula to calculate the percentage of red marbles.\newlinePercentage formula: (Number of red marblesTotal number of marbles)×100(\frac{\text{Number of red marbles}}{\text{Total number of marbles}}) \times 100\newlineSubstitute the values into the formula: (60100)×100(\frac{60}{100}) \times 100.
  3. Perform division and multiplication: Perform the division and multiplication to find the percentage. \newline60/100=0.660 / 100 = 0.6\newline0.6×100=600.6 \times 100 = 60\newlineSo, 60%60\% of the marbles are red.