The school has organized a class picnic for class 8. In that picnic, one third of the total students and four more take vegetarian food only. One fourth and three more take non-vegetarian food only. The other 103 take both vegetarian and non vegetarian food. How many total students are there in the picnic?
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Take 'x' to be the total no. of girls.Then veg. only girls would be 13 of x plus 4 = Vax + 4 Non-veg. only girls = V4x + 3 Both = veg and non veg = 103 Total = xSo, (x/3 + 4) + (x/4 + 3) + 103 = x(4x+3x)/12 + 110 = x (LCM of 3 & 4)7x/12 +110 = x7x/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 = -1320x = -1320/-5
(Transposing -5)x = 264Therefore, the total number of girls in the hostel is 2641 hope you found my answer useful.
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