document.write( "Question 194470: How many gallons of a %15 acid solution must be mixed with 5gal.of a %20 solution to make a %16 solution? \n" ); document.write( "
Algebra.Com's Answer #146046 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! How many gallons of a %15 acid solution must be mixed with 5gal. \n" ); document.write( "of a %20 solution to make a %16 solution? \n" ); document.write( ": \n" ); document.write( "Let x = amt of 15% solution required \n" ); document.write( ": \n" ); document.write( "A decimal amt of acid mixture equation: \n" ); document.write( ": \n" ); document.write( ".15x + .20(5) = .16(x+5) \n" ); document.write( ": \n" ); document.write( ".15x + 1 = .16x + .8 \n" ); document.write( ": \n" ); document.write( "1 - .8 = .16x - .15x \n" ); document.write( ": \n" ); document.write( ".2 = .01x \n" ); document.write( "x = \n" ); document.write( "x = 20 gal of 15% solution required \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check solution in original equation \n" ); document.write( ".15(20) + .20(5) = .16(20 + 5) \n" ); document.write( "3 + 1 = 4; confirms our answer \n" ); document.write( " |