Answer :

Let the total number of girls be x.

No. of girls who take vegetarian food only = x + 4

No. of girls who take non - vegetarian food only = x + 3

No. of girls who take both vegetarian and non - vegetarian food = 103.By the given condition,

x + 4 + x + 3 + 103 = x

x + x - x + 110 = 0 Multiply through out by 12,

4x + 3x - 12x + 1320 = 0

-5x + 1320 = 0

-5x = -1320

x =

x = 264∴ There are 264 girls in the hostel.

No. of girls who take vegetarian food only = x + 4

No. of girls who take non - vegetarian food only = x + 3

No. of girls who take both vegetarian and non - vegetarian food = 103.By the given condition,

x + 4 + x + 3 + 103 = x

x + x - x + 110 = 0 Multiply through out by 12,

4x + 3x - 12x + 1320 = 0

-5x + 1320 = 0

-5x = -1320

x =

x = 264∴ There are 264 girls in the hostel.

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