57. 100 kg of an alloy A is mixed with 140 kg of alloy B.1f
alloy A has lead and tin in the ratio 2:3, and alloy B has
tin and copper in the ratio 4: 1, then the amount of tinin
the new alloy is:
(a) 158 kg
(6) 162 kg
(c) 170 kg
(d) 172 kg
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Answer:
(d) 172 kg
Step-by-step explanation:
Let the metal amount (Alloy A)- x
2x + 3x = 100
5x = 100
x = 20
Tin = 20 * 3 = 60 kg
.....
Let the metal amount (Alloy B) - y
4y + 1y = 140
5y = 140
y = 28
Tin = 28 * 4 = 112 kg
Total = 112 + 60 kg = 172 kg.....
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