document.write( "Question 946574: How many gallons of a 50% saltwater solution must be added to 10 gallons of a 15% solution to obtain a 35% solution? \n" ); document.write( "
Algebra.Com's Answer #577483 by addingup(3677)![]() ![]() You can put this solution on YOUR website! 10 gallon at 15% + x gallon at 50% = 10+x gallon at 35% We will rewrite:\r \n" ); document.write( "\n" ); document.write( ".15(10) + .50(x) = .35(10+x)\r \n" ); document.write( "\n" ); document.write( "1.5 + .50x = 3.5 + .35x Subtract 1.5 from both sides:\r \n" ); document.write( "\n" ); document.write( ".5x = 2 + .35x now subtract .35x from both sides and you get:\r \n" ); document.write( "\n" ); document.write( ".15x = 2 Finally divide both sides by .15:\r \n" ); document.write( "\n" ); document.write( "x = 13.33 gallon of 50% solution. \n" ); document.write( " |