document.write( "Question 633258: A goldsmith has two gold alloys. The first alloy is 30% gold; the second alloy is 80% gold. How many grams of each should be mixed to produce 40 grams of an alloy that is 70% gold?\r
\n" ); document.write( "\n" ); document.write( "Amount of 30% gold in grams?
\n" ); document.write( "Amount of 80% gold in grams??
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Algebra.Com's Answer #398819 by ankor@dixie-net.com(22740)\"\" \"About 
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A goldsmith has two gold alloys.
\n" ); document.write( " The first alloy is 30% gold; the second alloy is 80% gold.
\n" ); document.write( " How many grams of each should be mixed to produce 40 grams of an alloy
\n" ); document.write( " that is 70% gold?
\n" ); document.write( ":
\n" ); document.write( "Let x = amt of 80% alloy required
\n" ); document.write( "the resulting total is to be 40 grams, therefore:
\n" ); document.write( "(40-x) = amt of 30% gold
\n" ); document.write( ":
\n" ); document.write( ".80x + .30(40-x) = .70(40)
\n" ); document.write( ".80x + 12 - .30x = 28
\n" ); document.write( ".80x - .30x = 28 - 12
\n" ); document.write( ".50x = 16
\n" ); document.write( "x = 16/.5
\n" ); document.write( "x = 32 grams of the 80% alloy
\n" ); document.write( "then
\n" ); document.write( "40 - 32 = 8 grams of 30% alloy
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