SOLUTION: A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content a
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Question 1162004: A foundry has been commissioned to make souvenir coins. The coins are to be made from an alloy that is 40% silver. The foundry has on hand two alloys, one with 50% silver content and one with a 25% silver content. How many kilograms of each alloy should be used to make 40 kilograms of the 40% silver alloy?
50% alloy :
25% alloy : Answer by ikleyn(52777) (Show Source):
Let x be the amount of the 50% silver alloy, in kilograms.
Then the amount of the 25% silver alloy is (40-x) kilograms.
The pure silver amount in ingredients is 0.5*x + 0.25*(40-x) kilograms.
The pure silver amount in 40 kilograms of the 40% alloy is 0.4*40 = 16 kilograms.
It gives you this equation
0.5x + 0.25*(40-x) = 16.
From the equation
x = = = 24 kilograms.
ANSWER. 24 kilograms of the 50% silver alloy should be mixed with (40-24) = 16 kilograms of the 25% silver alloy.
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