SOLUTION: What weight of an alloy containing 10% silver must be melted with an alloy containing 60% silver to obtain 10 lb of an alloy containing 40% silver?

Question 493024: What weight of an alloy containing 10% silver must be melted with an alloy containing 60% silver to obtain 10 lb of an
alloy containing 40% silver?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of 10% silver alloy to be added
Let = pounds of 60% silver alloy to be added
given:
= pounds of silver in 10% alloy
= pounds of silver in 60% alloy
= pounds of silver in final alloy
-------------------
(1)
(2)
----------------
(2)
Subtract (1) from (2)
(2)
(1)

and, since
(1)
(1)
(1)
4 pounds of 10% silver alloy need to be added
6 pounds of 60% silver alloy need to be added
check answer:
(2)
(2)
(2)
(2)
OK
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