document.write( "Question 1054956: Book A weighs 1.2 pounds and Book B weighs 1.3 pounds. If there are a total of 20 of these books in a box and the total weight of the books is 25.3 pounds, how many of each type of book are in the box? I set up A+B=20; B=20-A; and 1.2A+1.3B-25.3. But I can not figure out from there, please advise. \n" ); document.write( "
Algebra.Com's Answer #670169 by ikleyn(52797)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "Book A weighs 1.2 pounds and Book B weighs 1.3 pounds. If there are a total of 20 of these books in a box and \n" ); document.write( "the total weight of the books is 25.3 pounds, how many of each type of book are in the box? \n" ); document.write( "I set up A+B=20; B=20-A; and 1.2A+1.3B-25.3. \n" ); document.write( "But I can not figure out from there, please advise. \n" ); document.write( "~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( " A + B = 20, (1)\r\n" ); document.write( "1.2A + 1.3B = 25.3. (2)\r\n" ); document.write( "\r\n" ); document.write( "From (1), B = 20-A. Substitute it into (2). You will get\r\n" ); document.write( "\r\n" ); document.write( "1.2A + 1.3*(20-A) = 25.3,\r\n" ); document.write( "\r\n" ); document.write( "1.2A + 26 - 1.3A = 25.3,\r\n" ); document.write( "\r\n" ); document.write( "-0.1A = 25.3 - 26,\r\n" ); document.write( "\r\n" ); document.write( "-0.1A = -0.7.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Can you continue and complete?\r\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |