document.write( "Question 114687: How much of an alloy that is 20% copper should be mixed with 400 ounces of an alloy that is 70% copper in order to get an alloy that is 30% copper? \r
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Algebra.Com's Answer #83533 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! How much of an alloy that is 20% copper should be mixed with 400 ounces of an alloy that is 70% copper in order to get an alloy that is 30% copper? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 20% copper is required: \n" ); document.write( "Then \n" ); document.write( "The resulting amt = (x+400) \n" ); document.write( ": \n" ); document.write( ".70(400) + .20(x) = .30(x+400) \n" ); document.write( ": \n" ); document.write( "280 + .2x = .3x + 120 \n" ); document.write( ": \n" ); document.write( ".2x - .3x = 120 - 280 \n" ); document.write( ": \n" ); document.write( "-.1x = -160 \n" ); document.write( ": \n" ); document.write( "x = -160/-.1 \n" ); document.write( ": \n" ); document.write( "x = +1600 oz of 20% copper is required \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution: \n" ); document.write( ".7(400) + .2(1600) = .3(1600 + 400) \n" ); document.write( "280 + 320 = .3(2000) \n" ); document.write( "600 = 600; confirms out solution \n" ); document.write( " |