document.write( "Question 710628: we started with 5 ounces of perfume that was 95% alcohol. we added some preservative that was only 75% alcohol. we ended up with a perfume that was 91% alcohol. determine how many ounces of the preservative were added. \n" ); document.write( "
Algebra.Com's Answer #437108 by srinivas.g(540)![]() ![]() You can put this solution on YOUR website! 5 ounces of perfume consist of 95% alcohol . \n" ); document.write( " so , intital quantity of alcohol = 0.95 * 5 \n" ); document.write( " =4.75 onces \n" ); document.write( "lets assume x ounces of some preservative has been added \n" ); document.write( " now alcohol in the preservative = 75% of x \n" ); document.write( " =0.75 x \n" ); document.write( "total quantity of alcohol = 4.75 +0.75 x \n" ); document.write( " but total volume of perfume after adding preservative = 5+x \n" ); document.write( " alcohol in the total quantity = 91 % of (5+x) \n" ); document.write( " = 0.91*5+0.91 x \n" ); document.write( " =4.55 +0.91 x\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " so 4.75 +0.75 x =4.55 +0.91 x \n" ); document.write( " 4.75-4.55 =0.91 x -0.75 x \n" ); document.write( " 0.2 = 0.16 x \n" ); document.write( "divide with 0.16 on both sides \n" ); document.write( "0.2/0.16 = 0.16 x/0.16 \n" ); document.write( "1.25 = x \n" ); document.write( "x= 1.25 onces \n" ); document.write( "so amount of preservative added = 1.25 ounces \n" ); document.write( " \n" ); document.write( " |