Question

in a student's hostel, one third of the total number off girls and four more take a vegetarian food only, one fourth and three more take non vegetarian food. the other 103 take both vegetarian and non vegetarian .how many girls are there in the hostel?

Answer 1

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Answer 2

Answer: This is answer for your question:-

Step-by-step explanation:Take 'x' to be the total no. of girls.

Then veg. only girls would be ⅓ of x plus 4 = ⅓x + 4

Non-veg. only girls = ¼x + 3

Both veg and non veg = 103

Total = x

So, (x/3 + 4) + (x/4 + 3) + 103 = x

(4x+3x)/12 + 110 = x (LCM of 3 & 4)

7x/12 +110 = x

7x/12 + x = -110 (Transposing x and 110)

(7x-12x)/12 = -110 (LCM of the denominators)

-5x/12 = -110

-5x = -110 * 12 (Transposing 1/12)

-5x = -1320

x = -1320/-5 (Transposing -5)

x = 264

Therefore, the total number of girls in the hostel is 264