document.write( "Question 1035731: A restaurent has a total of 27 tables and booths.Each table seats up to 8 people and each booth seats upto 4 people.The restaurant can seat upto a total of 140 people.How many booths are in restaurant? \n" ); document.write( "
Algebra.Com's Answer #650429 by fractalier(6550)![]() ![]() You can put this solution on YOUR website! Let the numbers of tables and booths be t and b. Then we write \n" ); document.write( "t + b = 27 and \n" ); document.write( "8t + 4b = 140 \n" ); document.write( "Now multiply the top equation by 4 and subtract \n" ); document.write( "8t + 4b = 140 \n" ); document.write( "-(4t + 4b = 108) \n" ); document.write( "----------------- \n" ); document.write( "4t = 32 \n" ); document.write( "t = 8 tables \n" ); document.write( "which means there are \n" ); document.write( "b = 19 booths \n" ); document.write( " |