document.write( "Question 272620: A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 10% vinegar. The chef wants to make 270 milliliters of a dressing that is 6% vinegar. How much of each brand should she use?
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A chef is using a mixture of two brands of Italian dressing. The first brand contains 5% vinegar, and the second brand contains 10% vinegar. The chef wants to make 270 milliliters of a dressing that is 6% vinegar. How much of each brand should she use? \r
\n" ); document.write( "\n" ); document.write( "Let x be the quantity of 5% vinegar\r
\n" ); document.write( "\n" ); document.write( "5%------------------------- 10%---------------------- 6% mix
\n" ); document.write( "x---------------------------270-x---------------------270\r
\n" ); document.write( "\n" ); document.write( "0.05x+0.1*(270-x) = 0.06 * 270\r
\n" ); document.write( "\n" ); document.write( "0.05x+27-0.1x= 16.2\r
\n" ); document.write( "\n" ); document.write( "- 0.05x = 16.2-27\r
\n" ); document.write( "\n" ); document.write( "-0.05x= -10.8\r
\n" ); document.write( "\n" ); document.write( "x= -10.8/ - 0.05\r
\n" ); document.write( "\n" ); document.write( "x=216 ml\r
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