SOLUTION: How Much Tin and how much lead must be added to 700 pounds of an alloy containing 50% tin and 25% lead to make an alloy which is 60% tin and 20% lead?

Question 625725: How Much Tin and how much lead must be added to 700 pounds of an alloy containing 50% tin and 25% lead to make an alloy which is 60% tin and 20% lead?
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
Let = pounds of tin to be added
Let = pounds of lead to be added
pounds of tin in original alloy
pounds of lead in original alloy
----------------
given:
(1)
(2)
----------------------------
(1)
(1)
(1)
(1)
(1)
and
(2)
(2)
(2)
(2)
(2)
(2)
Multiply both sides of (2) by
and subtract (2) from (1)
(1)
(2)

and, since
(2)
(2)
(2)
(2)
175 pounds of tin should be added and
no lead should be added
check answer:
(1)
(1)
(1)
(1)
(1)
OK
(2)
(2)
(2)
(2(
OK
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