document.write( "Question 267796: According to a contract, a factory should make 48 tables each day. Instead, they made 2 additional tables each day until the last 3 days of the contract. For the last 3 days they only had to make a total of 100 tables. How many tables was the factory contracted to make? \n" ); document.write( "
Algebra.Com's Answer #196427 by palanisamy(496) ![]() You can put this solution on YOUR website! Let the total number of tables to be made = x \n" ); document.write( "According to a contract, a factory should make 48 tables each day. \n" ); document.write( "The number of days = x/48 ..(1) \n" ); document.write( "But the factory made 50 tables for [(x/48)-3] days and made 100 tables in the last three days. \n" ); document.write( "Total number of tables is [(x/48)-3]*50+100 = x \n" ); document.write( " [(x-144)/48]*50 = x-100 \n" ); document.write( " [x-144]*50 = 48(x-100) \n" ); document.write( " 50x-7200 = 48x-4800 \n" ); document.write( " 50x-48x = 7200-4800 \n" ); document.write( " 2x = 2400 \n" ); document.write( " x = 2400/2 \n" ); document.write( " x = 1200 \n" ); document.write( " |