document.write( "Question 957921: a chef is using a mixture of two brands of Italian dressing. the first brand contains 9% vinegar, and the second brand contains 14% vinegar. the chef wants to make 260 milliliters of a dressing that is 13% vinegar. how much of each brand should she use \n" ); document.write( "
Algebra.Com's Answer #585427 by macston(5194) You can put this solution on YOUR website! N=amount of 9%; F=amount of 14% \n" ); document.write( "N+F=260ml \n" ); document.write( "N=260ml-F \n" ); document.write( "0.09N+0.14F=0.13(260ml) Substitute for N. \n" ); document.write( "0.09(260ml-F)+0.14F=33.8ml \n" ); document.write( "23.4ml-0.09F+0.14F=33.8ml Subtract 23.4ml from each side. \n" ); document.write( "0.05F=10.4ml Divide each side by 0.05 \n" ); document.write( "F=208ml ANSWER 1 She should use 208 ml of the 14% brand. \n" ); document.write( "N=260ml-F=260ml-208ml=52ml ANSWER 2: She should use 52ml of the 9% brand. \n" ); document.write( "CHECK: \n" ); document.write( "0.09N+0.14F=0.13(260ml) \n" ); document.write( "0.09(52ml)+0.14(208ml)=0.13(260ml) \n" ); document.write( "4.68ml+29.12ml=33.8 \n" ); document.write( "33.8ml=33.8ml\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |