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In an alloy, Iron and Copper are mixed in the ratio 7 : 2. In another alloy, these elements are mixed in the ratio 7 : 11. If equal quantities of those alloys are melted to form a third alloy, then what is the ratio of iron and copper in the new alloy?

In an alloy, Iron and Copper are mixed in the ratio 7 : 2. In another alloy, these elements are mixed in the ratio 7 : 11. If equal quantities of those alloys are melted to form a third alloy, then what is the ratio of iron and copper in the new alloy? Correct Answer 7 : 5

Suppose 18 kg of each alloy is taken,

⇒ Quantity of Iron when both alloys are mixed = 18 × 7/9 + 18 × 7/18 = 21 kg

⇒ Quantity of Copper when both alloys are mixed = 18 × 2/9 + 18 × 11/18 = 15 kg

∴ Ratio of iron and copper in the new alloy = 21 : 15 = 7 : 5

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