document.write( "Question 433981: 10 gallons of a 15.0% alcohol solution are to be mixed with a 28.0% alcohol solution to make a 20.0% alcohol solution. How many gallons of a 28.0% alcohol must be used? How many gallons of a 20.0% alcohol solution are made? \n" ); document.write( "
Algebra.Com's Answer #853258 by ikleyn(53419) You can put this solution on YOUR website! . \n" ); document.write( "10 gallons of a 15.0% alcohol solution are to be mixed with a 28.0% alcohol solution to make a 20.0% alcohol solution. \n" ); document.write( "(a) How many gallons of a 28.0% alcohol must be used? \n" ); document.write( "(b) How many gallons of a 20.0% alcohol solution are made? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " In the post by @mananth, his answer to question (a) is correct,\r \n" ); document.write( "\n" ); document.write( " but his answer to question (b) is not correct and should be fixed.\r \n" ); document.write( "\n" ); document.write( " So, I place below the solution with modified/corrected part for question (b).\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "------ Percent ---------------- quantity \n" ); document.write( "Alcohol 15 ----------------10 \n" ); document.write( "Alcohol II 28----------------x \n" ); document.write( "Total 20 ----------------10+x \n" ); document.write( " \n" ); document.write( "15*10+28*x=20(10+x) \n" ); document.write( "150+28x =200+20 x \n" ); document.write( "28 x - 20 x = 200 - 150 \n" ); document.write( "8x=50 \n" ); document.write( "/8 \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( "x=6.25 gallons 28% Alcohol II must be used. <<<---=== ANSWER to q. (a)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "10+x = 16.25 gallons of the 20% alcohol are made. <<<---=== ANSWER to q. (b) \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |