document.write( "Question 903694: How much water must be added to 30 litres of milk at 2 litres for $1.40 so as to have a mixture worth $0.50 a litre ? \n" ); document.write( "
Algebra.Com's Answer #548254 by Theo(13342)![]() ![]() You can put this solution on YOUR website! 30 liters of milk at 2 liters for $1.40 is worth 30 * $1.40 / 2 = $21.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your cost per liter is equal to $21.00 / 30 = $.70 per liter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You want your mixture to be worth $.50 per liter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "let x = the number of liters of water you need to add.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you want .50 * (x + 30) = $21.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's x + 30 liters of milk and water at $.50 per liter is equal to $21.00 which is the same value as 30 liters of pure milk milk at $.70 per liter.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your formula is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$.50 * (x + 30) = $21.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$.50 * x + $15.00 = $21.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "subtract $15.00 from both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$.50 * x = $6.00\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of this equation by $.50 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 12\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you need to add 12 liters of water to get a mixture with a value of $21.00.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "total liters required = 30 milk + 12 water = 42 liters of mixture.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$.50 * 42 = $21.00 for 42 liters of milk and water mixture.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |