document.write( "Question 1093467: George and Dale have been assigned the same number of math problems for homework. George has finished 22 problems, and Dale has finished 6 problems. If dale has three times as many problems remaining as George does, how many problems was George originally assigned? \n" ); document.write( "
Algebra.Com's Answer #708316 by ikleyn(52781)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( " \r\n" ); document.write( "Let the integer number N be the total number of problems assigned to each separately.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "When George solved 22 problems, (N-22) problems remained to solve.\r\n" ); document.write( "\r\n" ); document.write( "When Dale solved 6 problems, (N-6) problems remained to solve.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The condition says that\r\n" ); document.write( "\r\n" ); document.write( "N-6 = 3*(N-22).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Simplify and solve:\r\n" ); document.write( "\r\n" ); document.write( "N - 6 = 3N - 66,\r\n" ); document.write( "\r\n" ); document.write( "66 - 6 = 3N - N,\r\n" ); document.write( "\r\n" ); document.write( "2N = 60 ====> N =\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Nice problem ! \r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |