document.write( "Question 1121701: Lisa, Boris, and Pablo sent a total of 113 text messages over their cell phones during the weekend. Pablo sent 5 fewer messages than Lisa. Boris sent 4 times as many messages as Pablo. How many messages did they each send?
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Algebra.Com's Answer #737684 by ikleyn(52834)![]() ![]() You can put this solution on YOUR website! .\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This problem is intended to be solved using one equation and one unknown.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "Let L be the number of messages sent by Lisa.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then Pablo sent (L-5) messages, while Boris sent 4*(L-5).\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "The equation is\r\n" ); document.write( "\r\n" ); document.write( " Lisa + Pablo + Boris = 113, or\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " L + (L-5) + 4*(L-5) = 113,\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " L + L - 5 + 4L - 20 = 113\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( " 6L = 113 + 5 + 20 = 138 ====> L =\r \n" ); document.write( "\n" ); document.write( "Solved.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "---------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If you want to see many other similar problems solved in this way, look into the lesson\r \n" ); document.write( "\n" ); document.write( " - More complicated word problems to solve using a single linear equation \r \n" ); document.write( "\n" ); document.write( "in this site.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |