A sum of Rs.118 was divided among 50 boys and girls such that each boy received Rs.2.60 and each girl Rs.1.80. Find the number of boys and girls?

• Let the number of boys = x
• Then number of girls = 50 - x
• Each boy gets Rs. 2.60 and each girl gets Rs. 1.80

Total amount:

2.60 × x + 1.80 × (50 - x) = 118

Expand and simplify:

2.60x + 1.80 × 50 - 1.80x = 118
2.60x + 90 - 1.80x = 118
(2.60 - 1.80)x = 118 - 90
0.80x = 28
x = 28 / 0.80
x = 35

• Number of boys = 35
• Number of girls = 50 - 35 = 15

Answer: 35 boys and 15 girls