document.write( "Question 242956: An alloy needs to contain between 46% copper and 50% copper. Find the least and greatest amount of 60% copper alloy that should be mixed with a 40% copper alloy in order to end up with thirty pounds of an alloy containing an allowable percentage of copper \n" ); document.write( "
Algebra.Com's Answer #177978 by nerdybill(7384)\"\" \"About 
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An alloy needs to contain between 46% copper and 50% copper. Find the least and greatest amount of 60% copper alloy that should be mixed with a 40% copper alloy in order to end up with thirty pounds of an alloy containing an allowable percentage of copper
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\n" ); document.write( "Let x = amount of 60% copper alloy
\n" ); document.write( "then
\n" ); document.write( "30-x = amount of 40% copper alloy
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\n" ); document.write( "Considering least amount:
\n" ); document.write( ".60x + .40(30-x) = .46(30)
\n" ); document.write( ".60x + 12 - .40x = 13.8
\n" ); document.write( ".20x + 12 = 13.8
\n" ); document.write( ".20x = 1.8
\n" ); document.write( "x = 9 pounds
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\n" ); document.write( "Considering greatest amount:
\n" ); document.write( ".60x + .40(30-x) = .50(30)
\n" ); document.write( ".60x + 12 - .40x = 15
\n" ); document.write( ".20x + 12 = 15
\n" ); document.write( ".20x = 3
\n" ); document.write( "x = 15 pounds\r
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