Question

rs 4900 were divided among 150 children if each girl gets rs 50 and a boy gets rs 25 find the number of boys and girls​

Answer 1

Step-by-step explanation:

Let no. of boys be 'x' & that of girls be 'y'

Then, ATQ

x+y=150....... (1) or x=150-y

Also, ATQ

Also, ATQ25x + 50y=4900......(2)

25(150-y)+50y=4900

3750-25y+50y=4900

25y=1150

y=46 Answer

Put in (1)

x=104

No. of Boys = 104 & No. of Girls = 46

Answer 2

Given: Amount divided among children = Rs. 4,900

          Total number of children = 150

          Amount each girl got = Rs. 50

          Amount each boy got = Rs. 25

To find: Number of boys and girls

Let: Number of girls be $x$ and number of boys be $y$

Solution: According to the given question,

$x + y = 150$ ... (1)

also, each girl gets Rs. 50 and each boy gets Rs. 25

i.e. $50x + 25y = 4,900$  OR    $2x + y = 196$   ... (2)

Solving the equations using substitution method:

Putting $x = 150 -y$ from equation (1) in equation (2)

⇒ $2(150 - y) + y = 196$

⇒ $300 - 2y + y = 196$

⇒ $y = 300 - 196 = 104$

Putting $y = 104$ in equation (1)

⇒ $x + 104 = 150$

⇒ $x = 150 - 104 = 46$

Hence, number of girls $(x)$ is 46 and number of boys $(y)$ is 104.