document.write( "Question 1035164: A chef is using a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand contains 11% vinegar. The chef wants to make 210 milliliters of a dressing that is 8% vinegar. How much of each brand should she use? \n" ); document.write( "
Algebra.Com's Answer #649803 by ikleyn(52798)\"\" \"About 
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\n" ); document.write( "A chef is using a mixture of two brands of Italian dressing. The first brand contains 6% vinegar, and the second brand
\n" ); document.write( "contains 11% vinegar. The chef wants to make 210 milliliters of a dressing that is 8% vinegar. How much of each brand should she use?
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document.write( "     x +      y = 210,         (1)\r\n" );
document.write( "0.06*x + 0.11*y = 0.08*210,    (2)\r\n" );
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document.write( "Multiply (1) by 100 and simplify. You will get the modified system\r\n" );
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document.write( "  x +    y =  210,            (1')\r\n" );
document.write( "6*x + 11*y = 1680.            (2')\r\n" );
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document.write( "Solve it by using the Substitution method.\r\n" );
document.write( "From (1') express x = 210 - y and substitute into (2'). You will get a single equation\r\n" );
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document.write( "6*(210-y) + 11y = 1680,\r\n" );
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document.write( "1260 - 6y + 11y = 1680,\r\n" );
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document.write( "5y = 1680-1260,\r\n" );
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document.write( "5y = 420,\r\n" );
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document.write( "y = \"420%2F5\" = 84.\r\n" );
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document.write( "Answer. 84 milliliters of the 11% vinegar and 210-84 = 126 milliliters of the 6% vinegar.\r\n" );
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document.write( "Check. 0.06*126 + 0.11*84 = 16.80.   Correct!\r\n" );
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