document.write( "Question 1044116: There are benches in a classroom. If 4 students sit on each bench, three benches are left vacant; and if 3 students sit on each bench three students are left standing. What is the total number of students in the class.? \n" ); document.write( "
Algebra.Com's Answer #659372 by advanced_Learner(501)![]() ![]() You can put this solution on YOUR website! If 4 students sit on each bench, \n" ); document.write( "Number of benches sat on= x/4 \n" ); document.write( "Total number of benches available= (x/4)+3 \n" ); document.write( "If 3 students sit on each bench, \n" ); document.write( "Number of benches needed= x/3 \n" ); document.write( "3 students are left standing \n" ); document.write( "Thus, 1 bench is needed \n" ); document.write( "Therefore, number of benches available= (x/3) -1 \n" ); document.write( "Thus, \n" ); document.write( "(x/4)+3 = (x/3)-1 \n" ); document.write( "x/4 + 3= x/3 – 1 \n" ); document.write( "x/4 – x/3 = -1-3 \n" ); document.write( "3x/12 – 4x/12 = -4 (L.C.M) \n" ); document.write( "-x/12 = -4 \n" ); document.write( "-x = -4*12 \n" ); document.write( "-x = -48 \n" ); document.write( "so, x=48 \r \n" ); document.write( "\n" ); document.write( "Number of students in the class = x = 48 \n" ); document.write( " \n" ); document.write( " |