document.write( "Question 335334: A goldsmith has teo alloys that are different purities of gold. The first 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-ounce mixture that is two-thirds pure gold? \n" ); document.write( "
Algebra.Com's Answer #241006 by nyc_function(2741)\"\" \"About 
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Mass of Ag in final mixture = 6*2/3 = 4oz\r
\n" ); document.write( "\n" ); document.write( "Mass of 3/4 mixture required = x
\n" ); document.write( "Mass of 5/12 mixture required = y\r
\n" ); document.write( "\n" ); document.write( "Mass of Ag in final mixture = 4 = 3x/4 + 5y/12
\n" ); document.write( "Total mass of final mixture = 6 = x + y\r
\n" ); document.write( "\n" ); document.write( "48 = 9x + 5y
\n" ); document.write( "6 = x+y => x = 6-y\r
\n" ); document.write( "\n" ); document.write( "48 = 9(6-y) + 5y
\n" ); document.write( "48 = 54 - 9y + 5y
\n" ); document.write( "4y = 54-48 = 6
\n" ); document.write( "y = 6/4 = 3/2 ounce
\n" ); document.write( "x = 6-3/2 = 9/2 ounce\r
\n" ); document.write( "\n" ); document.write( "3/4 mixture = 9/2 = 4 1/2 ounce
\n" ); document.write( "5/12 mixture = 3/2 = 1 1/2 ounce\r
\n" ); document.write( "\n" ); document.write( "The goldsmith needs to use 4 1/2 ounce of the 3/4 mixture and 1 1/2 ounce of the 5/12 mixture to have 6 ounces of 2/3 mixture.
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