SOLUTION: A quantity of 50%silver alloy is melted together with a quantity of 70%silver alloy to produce 500g of alloy containing 65% silver.How much of each alloy was used?
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Question 715788: A quantity of 50%silver alloy is melted together with a quantity of 70%silver alloy to produce 500g of alloy containing 65% silver.How much of each alloy was used?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = grams of 50% alloy used
Let = grams of 70% alloy used
= grams of silver in 50% alloy
= grams of silver in 70% alloy
--------------------------------
(1)
(2)
------------------
(1)
(1)
(1)
Multiply both sides of (2) by
and subtract from (1)
(1)
(2)
and, from (2)
(2)
(2)
--------------
125 grams of 50% alloy was used
375 grams of 70% alloy was used
check:
(1)
(1)
(1)
(1)
(1)
OK
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