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?

15 boys and 35 girls
35 boys and 15 girls
30 boys and 20 girls
20 boys and 30 girls

Correct Answer: 35 boys and 15 girls

Explanation:

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

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