document.write( "Question 285448: In a 10mL solution with 10% of solute (liquid) already in it, how much (mL) solute needs to be added to make the total solute content 20% in the 10mL solution? All my friends got an answer of 1.1mL. Can someone please tell me how this is calculated? Thank you. \n" ); document.write( "
Algebra.Com's Answer #206911 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! In a 10mL solution with 10% of solute (liquid) already in it, how much (mL) solute needs to be added to make the total solute content 20% in the 10mL solution? \n" ); document.write( "---------------- \n" ); document.write( "Note: After you add the x amount of solute you have (10+x)mL of solution. \n" ); document.write( "I assume the x amount you add is 100% active ingredient. \n" ); document.write( "------------------------------------------------------------------------------ \n" ); document.write( "Equation: \n" ); document.write( "active + active = active \n" ); document.write( "0.10*10 + x = 0.20(10+x) \n" ); document.write( "--- \n" ); document.write( "Multiply thru by 100 to get: \n" ); document.write( "10*10 + 100x = 20*10 + 20x \n" ); document.write( "80x = 10*10 \n" ); document.write( "x = 100/80 \n" ); document.write( "x = 1.25 mL \n" ); document.write( "===================== \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |