80 kg of an alloy X is mixed with 50 kg of an alloy Y. If alloy X has lead and copper in the ratio 3:7 and alloy Y
has lead and copper in the ratio 7:3, what is the amount of lead in the new alloy?
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Given :- 80 kg of an alloy X is mixed with 50 kg of an alloy Y. If alloy X has lead and copper in the ratio 3:7 and alloy Y has lead and copper in the ratio 7:3, what is the amount of lead in the new alloy ?
Solution :-
Alloy X :-
- Lead : copper = 3 : 7
- Lead = 80 * (3/10) = 24 kg .
- Copper = 80 * (7/10) = 56 kg.
Alloy Y :-
- Lead : copper = 7 : 3
- Lead = 50 * (7/10) = 35 kg .
- Copper = 50 * (3/10) = 15 kg.
Therefore,
→ Lead in new alloy = Lead in alloy X + Lead in alloy Y = 24 + 35 = 59 kg. (Ans.)
Hence, 59 kg of Lead is in the new alloy.
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