Question 1044116
<font face="Times New Roman" size="+2">


Let *[tex \Large x] represent the number of benches in the classroom.  Then *[tex \Large x\ -\ 3] is the number of benches occupied by all of the students if they sit 4 to a bench.  Hence, the number of students is *[tex \Large 4(x\ -\ 3)].  On the other hand, *[tex \Large 3x] 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 *[tex \Large 3x\ +\ 3].  Since the number of students doesn't change based on the way they are seated, we know that:


*[tex \LARGE \ \ \ \ \ \ \ \ \ \ 4(x\ -\ 3)\ =\ 3x\ +\ 3]


Solve for *[tex \Large x], then calculate either *[tex \Large 4(x\ -\ 3)] or *[tex \Large 3x\ +\ 3]


John
*[tex \LARGE e^{i\pi}\ +\ 1\ =\ 0]
My calculator said it, I believe it, that settles it
<img src="http://c0rk.blogs.com/gr0undzer0/darwin-fish.jpg">
*[tex \Large \ \
*[tex \LARGE \ \ \ \ \ \ \ \ \ \  

</font>