SOLUTION: How many kilograms of nicker silver containing 18% zinc and how many kilograms of nickel silver containing 31% zinc must be melted together to produce 700kg of a new nickle silver

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Question 159481: How many kilograms of nicker silver containing 18% zinc and how many kilograms of nickel silver containing 31% zinc must be melted together to produce 700kg of a new nickle silver containing 22% zinc???
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
In words:
(kg of zinc in 18% metal)+(kg of zinc in 31% metal)/(total kg of metal) = .22
Given:
Total kg of metal = 700 kg
Let kgs of 18% metal = akg
Let kgs of 31% metal = bkg
a+%2B+b+=+700
b+=+700+-+a
%28.18a+%2B+.31b%29+%2F+700+=+.22
.18a+%2B+.31b+=+154
.18a+%2B+.31%2A%28700+-+a%29+=+154
.18a+%2B+217+-+.31a+=+154
-.13a+=+-63
a+=+484.6kg
b+=+700+-+484.6
b+=+215.4kg
I need 484.6 kg of the 18% metal and
215.4 kg of the 31% metal
check:
%28.18%2A484.6+%2B+.31%2A215.4%29%2F700+=+.22
87.228+%2B+66.774%29%2F700+=+.22
154+%2F+700+=+.22
.22+=+.22