document.write( "Question 243473: A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-oz mixture that is two-thirds pure gold?\r
\n" ); document.write( "\n" ); document.write( "I am having problems with the fraction part... Hope you can help
\n" ); document.write( "Thanks
\n" ); document.write( "Lisa \n" ); document.write( "
Algebra.Com's Answer #178384 by stanbon(75887)\"\" \"About 
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A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure gold and the second is five-twelfths pure gold. How many ounces of each should be melted and mixed in order to obtain a 6-oz mixture that is two-thirds pure gold?
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\n" ); document.write( "Equation:
\n" ); document.write( "gold + gold = gold
\n" ); document.write( "(3/4)x + (5/12)(12-x) = (2/3)12
\n" ); document.write( "Multiply thru by 12 to get:
\n" ); document.write( "9x + 5*12- 5x = 8*12
\n" ); document.write( "4x = 3^12
\n" ); document.write( "x = 9 oz (amt. of (3/4) alloy needed in the mix)
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\n" ); document.write( "12 - x = 12-9 = 3 oz (amt of (5/12) alloy needed in the mix)
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\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
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