An alloy contains Brass, Iron and Zinc in the ratio 2:3:1 and another contains Iron, zinc and lead in the ratio 5:4:3.If equal weights of both alloys are melted together to form a third alloy, then what will be the weight of lead per kg in new alloy?
Question
An alloy contains Brass, Iron and Zinc in the ratio 2:3:1 and another contains Iron, zinc and lead in the ratio 5:4:3.If equal weights of both alloys are melted together to form a third alloy, then what will be the weight of lead per kg in new alloy?
Solution
Let's break this down step by step:
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Let's assume that the weight of each alloy is 1 kg. This means that in the first alloy, we have 2/6 kg of Brass, 3/6 kg of Iron, and 1/6 kg of Zinc. In the second alloy, we have 5/12 kg of Iron, 4/12 kg of Zinc, and 3/12 kg of Lead.
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When we melt these two alloys together, we get a new alloy that is 2 kg in total weight.
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The weight of lead in the new alloy is the same as the weight of lead in the second alloy, because the first alloy doesn't contain any lead.
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Therefore, the weight of lead per kg in the new alloy is (3/12 kg) / 2 kg = 1/8 kg per kg, or 125 grams per kg.
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