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A coin contains 9 grams of nickel and 16 grams of copper, for a total weight of 25 grams.
What percentage of the metal in the coin is copper?

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A coin contains 99 grams of nickel and 1616 grams of copper, for a total weight of 2525 grams.\newlineWhat percentage of the metal in the coin is copper?\newline% \%

Full solution

Q. A coin contains 99 grams of nickel and 1616 grams of copper, for a total weight of 2525 grams.\newlineWhat percentage of the metal in the coin is copper?\newline% \%
  1. Identify Weight: Identify the total weight of the coin and the weight of the copper in the coin.\newlineTotal weight of the coin: 2525 grams\newlineWeight of copper in the coin: 1616 grams\newlineWe need to find out what percentage of the total weight is made up by the copper.
  2. Calculate Percentage: Calculate the percentage of the coin that is made up of copper.\newlinePercentage of copper = (Weight of copperTotal weight of the coin)×100%(\frac{\text{Weight of copper}}{\text{Total weight of the coin}}) \times 100\%\newlinePercentage of copper = (1625)×100%(\frac{16}{25}) \times 100\%
  3. Perform Division: Perform the division and multiplication to find the percentage.\newlinePercentage of copper = 0.64×100%0.64 \times 100\%\newlinePercentage of copper = 64%64\%