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)

    50

  • Option 2)

    40

  • Option 3)

    60

  • Option 4)

    65

  • Option 5)

    35

Answers (1)

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
https://learn.careers360.com/latex-image/?%5Cinline%20%5Cfn_jvn%20%5CRightarrow Number of girls = 40

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