Calculate the weight and percentage of zinc in the zinc-copper alloy being given that the latter's alloy with 3kg of pure zinc contains 90% of zinc and with 2kg of 90% zinc alloy contains 84% of zinc.
(a) 2.4kg or 80%
(b) 1.4kg or 88%
(c) 3.4kg or 60%
(d) 7.4kg or 18%
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Answer:
Right Answer Explanation:
x : 3
y : 100
90
10 : 90 – y
(90-y)/3 = 10/x = ………..(1)
In the second case,
x 2
y 90
84
6 84-y
Therefore (84-y)/2 = 6/x ………..(2)
Dividing (1) and (2)
=
180 – 2y = 420 – 5y
3y = 240
y = 80
x = 30/(90-80) = 30/10 = 3 kg
Quantity of zinc in x = 80% of x
= 0.8 3
= 2.4 kg
Weight and percentage of zinc is 2.4 kg or 80%
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