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In a particular type of alloy the ratio of iron to carbon is 2 : 3. The amount of iron that should be added to 15 kg of this material to ma…

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In a particular type of alloy the ratio of iron to carbon is 2 : 3. The amount of iron that should be added to 15 kg of this material to make the ratio of the contents1 : 1 is 
  • A2 kg
  • B3 kg
  • C6 kg
  • D9 kg
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Given, iron : carbon = 2 : 3

In 15 kg of this alloy, we have

amount of iron $(= \frac{2}{5} \times 15 = 6\;kg)$

amount of carbon $(= \frac{3}{5} \times 15 = 9\;kg)$

Hence, the amount of iron to be added to this mixture to make the ratio of the contents 1:1 is 3 kg of iron.