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Gold Carat Problem

  • 19-09-2015 1:09am
    #1
    Take Your Pants Off
    Registered Users, Registered Users 2 Posts: 1,519 ✭✭✭


    In the formal it states that 24 is multiplied with mass of gold in the material.
    So why is it in the part of the soloution thats its worked around 9 over 24.
    Should it not be
    C= 24(9+18) as they are the mass of gold. All over 232(147g+85g) which is the total mass of the material

    Please excuse my stupidity for this thread. I just want to know how they got a fraction out of the equation.
    Thank you


Comments

  • #2
    MathsManiac
    Registered Users, Registered Users 2 Posts: 1,595 ✭✭✭MathsManiac


    If you re-arrange the formula in the question, you can see that:

    mg = (c/24) mt

    For 9-carat gold, c = 9, so mg = (9/24) mt, meaning that the mass of gold is 9/24 of the total mass, and for 18-carat gold, mg = (18/24) mt, meaning that the mass of gold is 18/24 of the total mass

    Does that answer your question?


  • #3
    Take Your Pants Off
    Registered Users, Registered Users 2 Posts: 1,519 ✭✭✭Take Your Pants Off


    MathsManiac wrote: »
    If you re-arrange the formula in the question, you can see that:

    mg = (c/24) mt

    For 9-carat gold, c = 9, so mg = (9/24) mt, meaning that the mass of gold is 9/24 of the total mass, and for 18-carat gold, mg = (18/24) mt, meaning that the mass of gold is 18/24 of the total mass

    Does that answer your question?

    Thank you


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