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 #755973 by ikleyn(52786) $\"\"$ $\"About$

You can put this solution on YOUR website!
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\n" ); document.write( "\n" ); document.write( "In this problem, the concentration is the ratio of the vinegar volume to the total volume of the dressing.\r
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document.write( "Let x be the volume of the 16% Italian dressing and y be the volume of the 100% vinegar.\r\n" );
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document.write( "Then from the condition, you have these two equations\r\n" );
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document.write( "        x + y = 210  milliliters           (1)   (total volume)    and\r\n" );
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document.write( "    0.16x + y = 0.48*210   milliliters     (2)   (the volume of the 100% vinegar)\r\n" );
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document.write( "To solve the sytem, subtract equation (2) from equation (1).  In this way you eliminate y and obtain single equation for x\r\n" );
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document.write( "    x - 0.16x  = 210 - 0.48*210\r\n" );
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document.write( "    (1 - 0.16)*x = 210 - 0.48*210\r\n" );
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document.write( "    x =  = 130.\r\n" );
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document.write( "ANSWER.  The chef should mix  130 mL of the 16% Italian vinegar with  (210-130) = 80 mL of the 100% vinegar.\r\n" );
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document.write( "CHECK.  0.16*130 + 80 = 100.8 mL of the 100% vinegar = 0.48*210 mL.    ! Correct !\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( "For introductory lessons covering various types of mixture word problems see\r
\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
\n" ); document.write( "\n" ); document.write( "in this site.\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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\n" ); document.write( "\n" ); document.write( "Also, you have this free of charge online textbook in ALGEBRA-I in this site\r
\n" ); document.write( "\n" ); document.write( "    - ALGEBRA-I - YOUR ONLINE TEXTBOOK.\r
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\n" ); document.write( "\n" ); document.write( "The referred lessons are the part of this textbook in the section \"Word problems\" under the topic \"Mixture problems\".\r
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\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Save the link to this online textbook together with its description\r
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\n" ); document.write( "\n" ); document.write( "Free of charge online textbook in ALGEBRA-I
\n" ); document.write( "https://www.algebra.com/algebra/homework/quadratic/lessons/ALGEBRA-I-YOUR-ONLINE-TEXTBOOK.lesson\r
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\n" ); document.write( "\n" ); document.write( "to your archive and use it when it is needed.\r
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