document.write( "Question 1204015: A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 13% vinegar. The chef wants to make 150 milliliters of a mixture that contains 42% vinegar. How much vinegar and how much Italian dressing should she use? \n" ); document.write( "

Algebra.Com's Answer #840003 by ikleyn(52814) $\"\"$ $\"About$

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\n" ); document.write( "A chef plans to mix 100% vinegar with Italian dressing. The Italian dressing contains 13% vinegar.
\n" ); document.write( "The chef wants to make 150 milliliters of a mixture that contains 42% vinegar.
\n" ); document.write( "How much vinegar and how much Italian dressing should she use?
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document.write( "Let x be the volume (in milliliters) of the 100% vinegar to mix with Italian dressing.\r\n" );
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document.write( "Then the volume of the Italian dressing should be (150-x) milliliters.\r\n" );
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document.write( "The total volume will be x + (150-x) milliliters;\r\n" );
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document.write( "the volume of the vinegar will be  [0.13*(150-x) + x].\r\n" );
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document.write( "We want the final mixture be 42% vinegar.  It means\r\n" );
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document.write( "    0.13*(150-x) + x = 0.42*150.\r\n" );
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document.write( "To find x, simplify step  by step\r\n" );
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document.write( "    0.13*150 - 0.13x + x = 0.42*150\r\n" );
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document.write( "    x - 0.13x = 0.42*150 - 0.13*150\r\n" );
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document.write( "       x =  = 50.\r\n" );
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document.write( "ANSWER.  50 milligrams of the 100% vinegar should be added.\r\n" );
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\n" ); document.write( "\n" ); document.write( "It is a standard and typical mixture problem.\r
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\n" ); document.write( "\n" ); document.write( "In this site, there is a huge collection of lessons covering various types of mixture word problems.
\n" ); document.write( "Start from these introductory lessons\r
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\n" ); document.write( "\n" ); document.write( "    - Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - More Mixture problems\r
\n" ); document.write( "\n" ); document.write( "    - Solving typical word problems on mixtures for solutions \r
\n" ); document.write( "\n" ); document.write( "    - Typical word problems on mixtures from the archive\r
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\n" ); document.write( "\n" ); document.write( "You will find there ALL TYPICAL mixture problems with different methods of solutions,
\n" ); document.write( "explained at different levels of detalization, from very detailed to very short.\r
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\n" ); document.write( "\n" ); document.write( "Read them and become an expert in solution mixture word problems.\r
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