document.write( "Question 993677: One solution contains 40% alcohol and another contains 72% alcohol. How much of each should be mixed together to obtain 16 ounces of a 62% alcohol solution? \n" ); document.write( "
Algebra.Com's Answer #612894 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Let x be the amount of 40% alcohol. The 16-x must be the amount of 72% alcohol. The equation becomes, once you make percents into whole numbers...\r \n" ); document.write( "\n" ); document.write( "x(40) + (16-x)(72) = 16(62) \n" ); document.write( "40x + 1152 - 72x = 992 \n" ); document.write( "Simplifying gives \n" ); document.write( "-32x = -160 \n" ); document.write( "and \n" ); document.write( "x = 5 \n" ); document.write( "So 5 oz of 40% and 11 oz of 72% will do the trick. \n" ); document.write( " |