Question

3. Rs. 4900 were divided among
150 children. If each girl gets Rs.
50 and a boy gets Rs. 25, then the
number of boys is:
O 100
O 102
O 104
O 105​

Answer 1

Answer:

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:

Rs. 4900 were divided among 150 children. Each girl gets Rs.50 and a boy gets Rs. 25.

To find:

The number of boys.

Solution:

Let the number of boys is x and the number of girls be y.

So, according to the question we have,

The total number of children = 150.

Hence,

$x + y = 150 \: \: (i)$

Also,

Rs. 4900 were divided among 150 children where each girl gets Rs.50 and a boy gets Rs. 25.

$25x + 50y = 4900 \: \: (ii)$

After multiplying equation (i) by 50 on both sides, we get,

$50x + 50y = 7500 \: \: (iii)$

Now, subtract equation (iii) from (ii) we have,

$25x = 2600$

$x = 104$

As x represents the number of boys, so

The number of boys is 104.

Hence, the correct option is 104.