An alloy is prepared by mixing three metals A, B and C in the proportion 3: 4: 7 by volume. Weights of the same volume of the metals A, B and C are in the ratio 5: 2: 6. In 130 kg of the alloy, the weight, in kg, of the metal C is
Correct Answer :
84
Solution :
Let the volumes of metals A, B, and C mixed be , , and respectively.
Let the weights per unit volume (densities) of metals A, B, and C be , , and respectively.
The weight of a metal is given by Volume × Density.
Weight of A =
Weight of B =
Weight of C =
The ratio of weights of A, B, and C in the alloy is:
The total weight of the alloy is 130 kg.
The sum of the ratio parts is .
The weight of metal C in 130 kg of the alloy is:
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