Question

A sum of Rs.41 was divided among 50 boys and

Answer 1

Answer:

The number of boys is 34   And The number of girls is 16

Step-by-step explanation:

Given as :

Total number of boys and girls =  50

Total amount to be divided between boys and girls =  Rs 41

The amount given to each boys = 90 paise = Rs 0.9

The amount given to each girls = 65 paise = Rs 0.65

Let The number of Boys = B

The numbers of girls = G

So, According to question

0.9 B + 0.65 G = Rs 41

And B + G = 50

Or, 0.9 B + 0.65 G = Rs 41          .......1

And 0.9 B + 0.9 G = 45                 ......2

Now, (  0.9 B + 0.9 G ) - ( 0.9 B + 0.65 G ) = 45 - 41

Or,      0.25 G = 4

∴                  G = $\frac{4}{0.25}$ = 16

And The number of boys = B = 50 - G = 50 - 16 = 34

Hence  The number of boys is 34   And The number of girls is 16   Answer