# a school has 10 classes with the same number of students in each class . one day, the weather was bad and many students were absent . 5 classes were half full , 3 classes were 3/4 full and 2 classes were 1/8 empty . a total of 70 students were absent . how many students are in this school when no students are absent ?

Given : School has 10 classes with the same number of students in each class , So

Let , Total number of students in one class =

*x*

So,

Total number of students in school = 10

*x*

And

5 classes were half full , 3 classes were $\frac{3}{4}$ full and 2 classes were $\frac{1}{8}$empty , Total students absent is 70

So,

$\Rightarrow 5x-\frac{5x}{2}+\hspace{0.17em}3x-\frac{3x}{4}+2x\times \frac{1}{8}=70\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{5x}{2}+\hspace{0.17em}\frac{9x}{4}+\frac{x}{4}=70\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{10x+9x+x}{4}=70\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow \frac{20x}{4}=70\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow 5x=70\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow x=\frac{70}{5}\phantom{\rule{0ex}{0ex}}\phantom{\rule{0ex}{0ex}}\Rightarrow \mathit{x}\mathbf{}\mathbf{}\mathbf{=}\mathbf{14}\mathbf{}$

Then ,

Total number of students in school = 10 ( 14 ) =

**140 ( Ans )**

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