document.write( "Question 309635: A goldsmith has two alloys that are different purities of gold. The first is three-fourths pure and the second is five-twelfths pure. How many ounces of each should be melted and mixed in order to obtain a 6oz mixture that is two-thirds pure? \n" ); document.write( "

Algebra.Com's Answer #221448 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 and the second is five-twelfths pure. How many ounces of each should be melted and mixed in order to obtain a 6oz mixture that is two-thirds pure?
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\n" ); document.write( "Equation:
\n" ); document.write( "gold + gold = gold
\n" ); document.write( "(3/4)x + (5/12)(6-x) = (2/3)6
\n" ); document.write( "---------------------------------
\n" ); document.write( "Multiply thru by 12 to get:
\n" ); document.write( "9x + 5(6-x) = 8*6
\n" ); document.write( "9x + 5*6 - 5x = 8*6
\n" ); document.write( "4x = 3*6
\n" ); document.write( "x = 4.5 oz (amt. of (3/4)th alloy needed)
\n" ); document.write( "---
\n" ); document.write( "6-x = 1.5 oz (amt of 5/12th alloy needed)
\n" ); document.write( "============================================
\n" ); document.write( "Cheers,
\n" ); document.write( "Stan H.
\n" ); document.write( "============== \n" ); document.write( "

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