document.write( "Question 950336: A chef is using a mixture of two brands of Italian dressing. The first brand contains
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document.write( "8%
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document.write( " vinegar, and the second brand contains
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document.write( "13%
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document.write( " vinegar. The chef wants to make
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document.write( "310
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document.write( " milliliters of a dressing that is
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document.write( "9%
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document.write( " vinegar. How much of each brand should she use? \n" );
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Algebra.Com's Answer #580292 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Let's call one brand a and the other b.\r \n" ); document.write( "\n" ); document.write( "a + b = 310. Therefore, a = 310 - b. And, \n" ); document.write( ".08a + .13b = .09(310) Let's substitute in this equation with what we learned on the first equation (we learned that a= 310-b):\r \n" ); document.write( "\n" ); document.write( ".08(310-b) + .13b = .09(310) Let's simplify, multiply: \n" ); document.write( "24.8 - .08b + .13b = 27.9 Subtract 24.8, both sides: \n" ); document.write( "- .08b + .13b = 3.1 Subtract on the left: \n" ); document.write( ".05b = 3.1 Divide both sides by .05: \n" ); document.write( "b = 62 OK, we need 62ml of .13 and 300 - 62 = 238ml of the .08 solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |