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In two alloys P and Q, the ratio of iron to copper is 4 : 13 and 6 : 11 respectively. 15 kg of alloy P and 20 kg of the alloy Q are mixed together to form a new alloy. What will be the ratio of iron and copper in the new alloy?

In two alloys P and Q, the ratio of iron to copper is 4 : 13 and 6 : 11 respectively. 15 kg of alloy P and 20 kg of the alloy Q are mixed together to form a new alloy. What will be the ratio of iron and copper in the new alloy? Correct Answer 36 : 83

GIVEN :

Ratio of iron and copper in alloy P = 4 : 13

Ratio of iron and copper in alloy Q= 6 : 11

 

CONCEPT :

Mixture Problems

 

CALCULATION :

Quantity of iron in 15 kg alloy P = 15 × 4/17 = 60/17 kg.

Quantity of copper in 15 kg alloy P = 15 × 13/17 = 195/17 kg.

Quantity of iron in 20 kg alloy Q = 20 × 6/17 = 120/17 kg.

Quantity of copper in 20 kg alloy Q = 20 × 11/17 = 220/17 kg.

Quantity of iron in new alloy = 60/17 + 120/17 = 180/17 kg.

Quantity of copper in new alloy = 195/17 + 220/17 = 415/17 kg.

∴ The ratio of iron and copper in new alloy = 180 : 415 = 36 : 83

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