document.write( "Question 1206099: A textbook store sold a combined total of 215 psychology and history textbooks in a week. The number of psychology textbooks sold was 57 more than the number of history textbooks sold. How many textbooks of each type were sold? \n" ); document.write( "
Algebra.Com's Answer #843321 by ikleyn(52784)![]() ![]() You can put this solution on YOUR website! . \n" ); document.write( "A textbook store sold a combined total of 215 psychology and history textbooks in a week. \n" ); document.write( "The number of psychology textbooks sold was 57 more than the number of history textbooks sold. \n" ); document.write( "How many textbooks of each type were sold? \n" ); document.write( "~~~~~~~~~~~~~~~~~~~\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " This problem can be solved MENTALLY. \n" ); document.write( " Below I show you how to do it.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \r\n" ); document.write( "For a minute, from the total of 215 textbooks, take off mentally 57 psychology textbooks.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Then you will have new collection of 215-57 = 158 textbooks,\r\n" ); document.write( "and in this updated collection, the number of psychology textbook will be the same \r\n" ); document.write( "as the number of history textbooks.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "Hence, the number of history textbook is half of 158, i.e. 158/2 = 79 textbooks.\r\n" ); document.write( "\r\n" ); document.write( "Then the number of psychology textbook in the original collection is 79 + 57 = 136.\r\n" ); document.write( "\r\n" ); document.write( "\r\n" ); document.write( "ANSWER. 136 psychology textbooks and 79 history textbooks.\r\n" ); document.write( "\r \n" ); document.write( "\n" ); document.write( "Solved mentally, without using equations.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |