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Math Help - Adding Concentration Problem

  1. #1
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    Adding Concentration Problem

    Problem: Joe has a ring weighing 10 grams made of an alloy of 13% silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 69%. How many grams of silver should he add?

    My set up is:

    10 (.13 + .87) = 10 (.13 + X + .69)

    I'm not sure if that's correct.
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  2. #2
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    Re: Adding Concentration Problem

    Quote Originally Posted by ayyisei View Post
    Problem: Joe has a ring weighing 10 grams made of an alloy of 13% silver and the rest gold. He decides to melt down the rings and add enough silver to reduce the gold content to 69%. How many grams of silver should he add?

    My set up is:

    10 (.13 + .87) = 10 (.13 + X + .69)

    I'm not sure if that's correct.
    Let the amount of silver (in gram) added be X.

    Then 10 + X = 10(0.87) + (10+X)(0.31).
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