# If 3 students sit on each bench,1 student will be left.if 4 students sit on each bench,1 bench will be left. find the number of students and benches,

$\begin{array}{l}\text{Let}\\ \text{Number of students in class=}y\\ \text{Number of benches=}x\\ \text{If three students sit on each bench}\\ \text{Number of students in class=}3x\\ \text{If one student left from one bench, total students=}3x+1\\ \text{Hence}\\ 3x+1=y\\ \text{If four students sit on each bench=}4x\\ \text{If one bench left=}4x-4\text{=total students in the class}\\ 3x+1=y\\ 4x-4=y\\ \text{From above 2 equations:}\\ 3x+1=4x-4\\ \Rightarrow\ 5=x\\ \text{So,}\\ y=3x+1=15+1=16\\ \text{There are 16 students in the class.}\end{array}$

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