document.write( "Question 1203169: Benjamin went shopping with 15 more ten-dollar notes than two-dollar notes. He paid $270 for a jacket with some ten-dollar notes. In the end, the number of ten-dollar notes he had left was 1/3 of the number of two-dollar notes he had left. How much money did he have at first? \n" ); document.write( "
Algebra.Com's Answer #838518 by mccravyedwin(408) You can put this solution on YOUR website! Benjamin went shopping with 15 more ten-dollar notes than two-dollar \n" ); document.write( "notes. \n" ); document.write( " \r\n" ); document.write( "Let x = the number of two-dollar notes he had at first.\r\n" ); document.write( "Let y = the number of ten-dollar notes he had at first.\r\n" ); document.write( " \n" ); document.write( "...15 more ten-dollar notes than two-dollar notes... \n" ); document.write( " \r\n" ); document.write( "So y = x+15\r\n" ); document.write( " \n" ); document.write( "He paid $270 for a jacket with some ten-dollar notes. \n" ); document.write( " \r\n" ); document.write( "After buying the jacket he had y-27 ten-dollar notes.\r\n" ); document.write( " \n" ); document.write( "In the end, the number of ten-dollar notes he had left was 1/3 of the number \n" ); document.write( "of two-dollar notes he had left. \n" ); document.write( " \r\n" ); document.write( "So in the end he had x two-dollar notes because he didn't spend any.\r\n" ); document.write( "\r\n" ); document.write( " y-27 = (1/3)x\r\n" ); document.write( "\r\n" ); document.write( "x+15-27 = (1/3)x\r\n" ); document.write( "\r\n" ); document.write( " x-12 = (1/3)x\r\n" ); document.write( "\r\n" ); document.write( " 3x-36 = x\r\n" ); document.write( "\r\n" ); document.write( " 2x = 36\r\n" ); document.write( "\r\n" ); document.write( " x = 18\r\n" ); document.write( "\r\n" ); document.write( "y = x+15 = 18+15 = 33\r\n" ); document.write( " \n" ); document.write( "How much money did he have at first? \n" ); document.write( " \r\n" ); document.write( "He had 18 two-dollar notes and 33 ten-dollar notes at first.\r\n" ); document.write( "\r\n" ); document.write( "Edwin\n" ); document.write( " |