document.write( "Question 1133341: How much of an alloy that is 20% copper should be mixed with 600 ounces of an alloy that is 60% copper in order to get an alloy that is 30% ​copper? \n" ); document.write( "
Algebra.Com's Answer #750527 by greenestamps(13200)\"\" \"About 
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\n" ); document.write( "The traditional algebraic solution method....

\n" ); document.write( "20% of x ounces, plus 60% of 600 ounces, equals 30% of (x+600) ounces.

\n" ); document.write( "\".20%28x%29%2B.60%28600%29+=+.30%28x%2B600%29\"

\n" ); document.write( "The equation is easily solved with basic algebra.

\n" ); document.write( "I leave that to you....

\n" ); document.write( "A faster path to the solution of any mixture problem like this involving two ingredients....

\n" ); document.write( "30% is 1/4 of the way from 20% to 60%. (The distance from 20% to 60% is 40%; the distance from 20% to 30% is 10%; 10% is 1/4 of 40%.)

\n" ); document.write( "That means 1/4 of the alloy must be the higher percentage.

\n" ); document.write( "The 600 ounces of 60% copper are 1/4 of the total, so the total is 600*4 = 2400 ounces; that means 1800 ounces of the 20% alloy.
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