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      Question

      An alloy is made of 45% lead, 35% tin, and 20% copper.

      How much lead should be added to 40 kg of the alloy so that the new alloy contains 55% lead?
      A 4 Correct Answer Incorrect Answer
      B 10 Correct Answer Incorrect Answer
      C 12 Correct Answer Incorrect Answer
      D Canโ€™t be determined Correct Answer Incorrect Answer

      Solution

      ATQ,

      Quantity of the alloy = 40 kg

      Quantity of lead in 40 kg alloy = (0.45 ร— 40) = 18 kg

      Quantity of tin in 40 kg alloy = (0.35 ร— 40) = 14 kg

      Quantity of copper in 40 kg alloy = (0.20 ร— 40) = 8 kg

      Let the quantity of lead to be added be x kg.

      According to the question,

      Quantity of lead in the new alloy = (Quantity of tin + Quantity of copper)

      (18 + x) = (14 + 8)

      Or, x = 22 - 18 = 4

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