A sum of Rs.312 was divided among 100 boys and girls in such a way that the boy gets Rs.3.60 and each girl Rs. 2.40 the number of girls is A. 35 B. 45 C. 35 D. 40 Answer Workspace Report Discuss Answer with explanation Answer: Option D Explanation Step (i): Let x be the number of boys and y be the number of girls. Given total number of boys and girls = 100 x+y=100 ————– (i) Step (ii): A boy gets Rs. 3.60 and a girl gets Rs. 2.40 The amount given to 100 boys and girls = Rs. 312 3.60x + 2.40y = 312 ————– (ii) Step (iii): Solving (i) and (ii) 3.60x + 3.60y = 360 ——— Multiply (i) by 3.60 3.60x + 2.40y = 312 ——— (ii) 1.20y = 48 y = 48 / 1.20 = 40 Number of girls = 40 Workspace
Discuss about the question