document.write( "Question 10331: How much water should be added to 20 ounces of a 15% solution of alcohol to dilute it to a 10% solution? \n" ); document.write( "
Algebra.Com's Answer #5503 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Here's one approach.\r \n" ); document.write( "\n" ); document.write( "20 ounces (oz) of a 15% alcohol solution has 85% water. \n" ); document.write( "The 10% alcohol solution has 90% water. You need to add x ounces (oz) of 100% water. \n" ); document.write( "Change percents to decimals.\r \n" ); document.write( "\n" ); document.write( "20 oz(.85) + x oz(1.0) = (20+x)oz(0.9) Simplify and solve for x. \n" ); document.write( "17 + x = 18 + 0.9x Subtract 0.9x from both sides. \n" ); document.write( "17 + 0.1x = 18 Subtract 17 from both sides. \n" ); document.write( "0.1x = 1 Divide both sides by 0.1 \n" ); document.write( "x = 10\r \n" ); document.write( "\n" ); document.write( "Add 10 oz of water. \n" ); document.write( " |