Question

In Sanjana's hostel one third of the total no. of girls and four more take veg food only, the other 206 take veg and non veg food. How many girls are there in the hostel?

Answer 1

Step-by-step explanation:

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Answer 2

$Number \: of \: people \: in \: Sanjana's$

$Hostel = x$

$Number \: of \: people \: take \: veg\: food$

$= \frac{x}{3} + 4$

$Number \: of \: people \: take \:non\: veg$

$and \:veg \: food = 206$

/* According to the problem given */

$x = \frac{x}{3} + 4 + 206$

$\implies x - \frac{x}{3} = 210$

$\implies \frac{3x - x}{3} = 210$

$\implies \frac{2x }{3} = 210$

$\implies x = 210 \times \frac{3}{2}$

$\implies x = 315$

Therefore.,

$\red{Number \:of \:girls \:in \:the \: Hostel }$

$= \frac{x}{3}$

$= \frac{315}{3}$

$\green {= 105}$

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