Question

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

girls. Each boys gets 90 paise and a girl65 paise.
Find the number of boys and girls​

Answer 1

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

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 =
`(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