SOLUTION: A metallurgist has one alloy containing 34% copper and another containing 55% copper. How many pounds of each alloy must he use to make 49 pounds of a third alloy containing 40% co
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Question 758245: A metallurgist has one alloy containing 34% copper and another containing 55% copper. How many pounds of each alloy must he use to make 49 pounds of a third alloy containing 40% copper?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of 34% alloy needed
Let = pounds of 55% alloy needed
= pounds of copper in
= pounds of copper in
----------------------------------
given:
(1)
(2)
----------------------------
(2)
(2)
(2)
Multiply both sides of (1) by and
subtract (1) from (2)
(2)
(1)
and, since
(1)
(1)
(1)
35 pounds of 34% alloy are needed
14 pounds of 55% alloy are needed
check:
(2)
(2)
(2)
(2)
OK
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