document.write( "Question 1159052: Chemists were creating th worlds longest lasting perfume called 24/7. first attempt they combined 5 milliliters of a substance containing 2% sandalwood with another subastance containing 6% sandalwood to get a substance containing 5% sandalwood. How many milliliters of the substance containing 6% sandalwood must they have used? \n" ); document.write( "

Algebra.Com's Answer #782029 by greenestamps(13216) $\"\"$ $\"About$

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\n" ); document.write( "The setup for the traditional algebraic solution....

\n" ); document.write( "5 ml of 2%, plux x ml of 6%, equals (5+x) ml of 5%:
\n" ); document.write( " $\".02%285%29%2B.06%28x%29+=+.05%285%2Bx%29\"$
\n" ); document.write( " $\"0.1%2B.06x+=+.25%2B.05x\"$
\n" ); document.write( " $\".01x+=+.15\"$
\n" ); document.write( " $\"x+=+.15%2F.01+=+15\"$

\n" ); document.write( "ANSWER: 15 ml of the 6% sandalwood.

\n" ); document.write( "A much faster and easier solution method -- if a formal algebraic solution is not required....

\n" ); document.write( "5% is 3/4 of the way from 2% to 6%; therefore 3/4 of the mixture must be the 6% sandalwood. So the 5 ml of 2% is 1/4 of the mixture; that means the amount of 6% sandalwood is 15 ml.

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