# A sum of Rs. 312 was divided among 100 boys and girls in such a way that each boy gets Rs. 3.60 and each girl Rs. 2.40. The number of girls is: Option 1) 50Option 2) Option 3) Option 4) Option 5)

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)
$3.60x + 3.60y = 360 ---Multiply\: (i) \: by \: 3.60$
$3.60x + 2.40y = 312 --------- (ii)$
$1.20y = 48$
$y = \frac{48 }{1.20}$
= 40
$\inline \fn_jvn \Rightarrow$ Number of girls = 40

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