document.write( "Question 1056966: Jason had saved $60 and plans to save $20 a month, while Jacob had saved $45 and plans to save $40 a month. When will their savings be the same? \n" ); document.write( "
Algebra.Com's Answer #672083 by solve_for_x(190)![]() ![]() ![]() You can put this solution on YOUR website! Let x represent the number of months that Jason and Jacob must save until their amounts are equal.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "At that time, Jason's total amount saved will be: 20x + 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "And Jacob's total amount saved will be: 40x + 45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the amounts must be the same, set them equal to each other:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "40x + 45 = 20x + 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 20x from both sides:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "40x - 20x + 45 = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20x + 45 = 60\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 45 from both sides:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20x + 45 - 45 = 60 - 45\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "20x = 15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides by 20 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 15/20\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 3/4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Their savings will be the same after only 3/4 of a month.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |