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
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document.write( "Amount of 30% gold in grams?
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document.write( "Amount of 80% gold in grams?? \n" );
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Algebra.Com's Answer #398819 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! 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 \n" ); document.write( " \n" ); document.write( " |