document.write( "Question 1138072: A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 16% vinegar. The chef wants to make 210 milliliters of a mixture that contains 48% vinegar. How much vinegar and how much Italian dressing should she use? \n" ); document.write( "
Algebra.Com's Answer #755972 by josmiceli(19441)\"\" \"About 
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Let \"+a+\" = ml of 100% vinegar needed
\n" ); document.write( "Let \"+b+\" = ml of Italian dressing needed
\n" ); document.write( "-------------------------------------------------
\n" ); document.write( "(1) \"+a+%2B+b+=+210+ml+\"
\n" ); document.write( "(2) \"+a+%2B+.16b+=+.48%2A210+\"
\n" ); document.write( "-----------------------------------------
\n" ); document.write( "(2) \"+a+%2B+.16b+=+100.8+\"
\n" ); document.write( "(2) \"+100a+%2B+16b+=+10080+\"
\n" ); document.write( "(2) \"+25a+%2B+4b+=+2520+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+4a+%2B+4b+=+840+\"
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+25a+%2B+4b+=+2520+\"
\n" ); document.write( "(1) \"-+4a+-+4b+=+-840+\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "\"+21a+=+1680+\"
\n" ); document.write( "\"+a+=+80+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+80+%2B+b+=+210+\"
\n" ); document.write( "(1) \"+b+=+130+\"
\n" ); document.write( "---------------------------------
\n" ); document.write( "80 ml of 100% vinegar are needed
\n" ); document.write( "130 ml of Italian dressing are needed
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+a+%2B+.16b+=+100.8+\"
\n" ); document.write( "(2) \"+80+%2B+.16%2A130+=+100.8+\"
\n" ); document.write( "(2) \"+80+%2B+20.8+=+100.8+\"
\n" ); document.write( "(2) \"+100.8+=+100.8+\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" );