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 #659369 by solver91311(24713)\"\" \"About 
You can put this solution on YOUR website!
\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Let represent the number of benches in the classroom. Then is the number of benches occupied by all of the students if they sit 4 to a bench. Hence, the number of students is . On the other hand, is the number of students that are seated if they sit 3 to a bench and there are 3 students left over. Hence, the number of students is also . Since the number of students doesn't change based on the way they are seated, we know that:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve for , then calculate either or \r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "John
\n" ); document.write( "
\n" ); document.write( "My calculator said it, I believe it, that settles it
\n" ); document.write( "
\n" ); document.write( " \n" ); document.write( "
\n" );