the ratio between copper and zinc in an alloy is 5:7 .if the weight of zinc is 15.4 kg, find the weight of copper in the alloy
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Given:
The ratio between copper and zinc = 5:7
Weight of zinc = 15.4 kg
To find:
The weight of copper
Solution:
Let,
The weight of copper be 5x and, the weight of zinc be 7x
Therefore, from the ratio we get,
7x = 15.4
Therefore,
x = 15.4/7
= 2.2
Now, the weight of copper
= 5x
= (5)(2.2) [Putting the value of x]
= 11kg [The unit given in the question is kg]
Checking the answer (Rough Work)
Putting the weights of copper and zinc in the ratio,
11/15.4 = 5/7 [Which is the given ratio]
Thus, the weight of copper in the alloy is 11kg.
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