document.write( "Question 1065331: If the average monthly salary of two builders is £2210 and three times their difference is 540 find their salaries. \n" ); document.write( "
Algebra.Com's Answer #680481 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x = the salary of the first builder. \n" ); document.write( "let y = the salary of the second builder.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "their average monthly salary is 2210. \n" ); document.write( "this means that (x + y) /2 = 2210 \n" ); document.write( "multiply both sides of this equation by 2 and you get x + y = 4420\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 times their difference is 540. \n" ); document.write( "this means that 3 * (x - y) = 540 \n" ); document.write( "divide both sides of this equation by 3 and you get x - y = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have 2 equations that need to be solved simultaneously.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "they are:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x + y = 4420 \n" ); document.write( "x - y = 180\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add both sides of each equation together and you get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "2x = 4600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "divide both sides of the equation by 2 and you get x = 2300\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "since x + y = 4420, this means that y must be equal to 4420 - 2300 = 2120\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you have x = 2300 and y = 2120.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "their average is (2300 + 2120) / 2 = 2210\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "3 times their difference is 3 * (2300 - 2120) = 3 * 180 = 540\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that's your solution.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the salary of one of the builders is 2300 and the salary of the other builder is 2120.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |