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      Question

      A storeroom has only steel and copper rods in the ratio

      3:4, respectively and the weight of each steel and each copper rod is in the ratio 5:8, respectively. If the total weight of all the rods in the storeroom is 376 kg, then what is the weight of one steel rod?
      A 256 Correct Answer Incorrect Answer
      B 200 Correct Answer Incorrect Answer
      C Cannot be determined Correct Answer Incorrect Answer
      D 500 Correct Answer Incorrect Answer
      E None of these Correct Answer Incorrect Answer

      Solution

      Let the number of steel and copper rods in the storeroom be โ€˜3kโ€™ and โ€˜4kโ€™, respectively Let the weight of one steel rod and one copper rod be โ€˜5yโ€™ kg and โ€˜8yโ€™ kg, respectively According to the question, 3k ร— 5y + 4k ร— 8y = 376 Or, 15ky + 32ky = 376 Or, 47ky = 376 Or, ky = (376/47) = 8 But since we do not have information regarding the exact number of rods in the room, we cannot determine the exact weight of one steel rod.

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