SOLUTION: how many pounds of 60-40 solder (60% tin, 40% lead) must be mixed with 40-60 solder to produce 60 grams of 55-45 solder?

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Question 1046867: how many pounds of 60-40 solder (60% tin, 40% lead) must be mixed with 40-60 solder to produce 60 grams of 55-45 solder?

Answer by ikleyn(52788)   (Show Source): You can put this solution on YOUR website!
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how many pounds of 60-40 solder (60% tin, 40% lead) must be mixed with 40-60 solder to produce 60 grams of 55-45 solder?
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Let x be "how many pounds of 60-40 solder (60% tin, 40% lead) must be mixed".

Then the governing equation is

0.6x + 0.4(60-x) = 0.55*60,  or

0.6x + 24 - 0.4x = 33,  or

0.2x = 33 - 24,

0.2x = 9,

x =  = 45.

Answer. Mix 45 gram of 60-40 solder with 60-45 = 15 gram of 40-60 solder.

Check by tin.   0.6*45 + 0.4*15 = 33.  0.55*30 = 33.  Correct! 

Check by lead.  0.4*45 + 0.6*15 = 27.  0.55*60 = 27.  Correct!


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