SOLUTION: Word Problem: A certain metal is 40% tin. How many kilograms of this metal must be mixed with 50kg of metal that is 60% tin to get a metal that is 50% tin? Please include the so

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Question 205475: Word Problem: A certain metal is 40% tin. How many kilograms of this metal must be mixed with 50kg of metal that is 60% tin to get a metal that is 50% tin?
Please include the solution.
Thank you very much

Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
A certain metal is 40% tin. How many kilograms of this metal must be mixed with
50kg of metal that is 60% tin to get a metal that is 50% tin?
:
Let x = amt of 40% time required to do this
:
A typical mixture equation:
.40x + .60(50) = .50(x+50)
:
.4x + 30 = .5x + 25
:
30 - 25 = .5x - .4x
:
5 = .1x
x = 5%2F.1
x = 50 kg of 40% tin
;
:
Check solution in original equation
.40(50) + .60(50) = .50(50+50)