document.write( "Question 890083: A chef is using a mixture of two brands of Italian dressing. The first brand contains 10% vinegar, and the second brand contains 15% vinegar. The chef wants to make 230 milliliters of a dressing that is 14% vinegar. How much of each brand should she use? \n" ); document.write( "
Algebra.Com's Answer #538666 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! x = number of milliliters of first brand \n" ); document.write( "230 - x = number of milliliters of second brand\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0.1x + 0.15(230 - x) = 0.14(230) {first is 10%, second is 15% and total is 14%} \n" ); document.write( "0.1x + 34.5 - 0.15x = 32.2 {used distributive property and multiplied} \n" ); document.write( "-0.05x + 34.5 = 32.2 {combined like terms} \n" ); document.write( "-0.05x = -2.3 {subtracted 34.5 from each side} \n" ); document.write( "x = 46 {divided each side by -0.05} \n" ); document.write( "230 - x = 184 {substituted 46, in for x, into 230 - x}\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "46 mL of first brand \n" ); document.write( "184 mL of second brand \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |