SOLUTION: A pound of tin is worth $1 more than a pound of copper. four lb of tin are mixed with 6 lb of copper to make the bronze that sells for $4.15 per pound how much is a pound of tin wo

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Question 1181854: A pound of tin is worth $1 more than a pound of copper. four lb of tin are mixed with 6 lb of copper to make the bronze that sells for $4.15 per pound how much is a pound of tin worth
Answer by ikleyn(52829) About Me  (Show Source):
You can put this solution on YOUR website!
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Let x be the price for 1 pound of tin, in dollars;  then the price for 1 pound of copper is (x-1)  dollars.


The total cost is the sum of costs of ingredients.


    4x + 6*(x-1) = (4+6)*4.15


Simplify and solve


    10x = 10*4.15 + 6 

    10x = 47.50

      x = 47.50%2F10 = 4.75.


ANSWER.  A pound of tin is worth  $4.75.


CHECK.   The total cost of ingredients is  4*4.75 + 6*(4.75-1) = 41.50 dollars,

         same as the total cost of the alloy  4.15*(4+6) = 41.50  dollars.    ! Correct !

Solved.