Question

In two alloys, the ratios of copper to zinc are and (by weight). How many kg of the first alloy and of the second alloy should be alloyed together to obtain kg of a new alloy with equal contents of copper and zinc?

Hard

Solution

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Let be the amount of first alloy mixed
let be the amount of second alloy mixed
Copper in  alloy 

Copper in  alloy 

Total copper 

Zinc in  alloy 

Zinc in  alloy 

Total Zinc 
Both copper & zinc should be in  ratio 
 
we know both alloy should make
 
where
           
             alloy
             alloy

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