Question

If Rs. 50 is distributed among 150 children giving 50p to each boy and 25p to each girl. Then the number of boys is​

Answer 1

Answer:

there 50 boys

Step-by-step explanation:

Let the number of boys =x

then number of girls =150−x

According to the problem, the total money divided between girls and boys are:

100

50

​  

×(x)+  

100

25

​  

(150x)=50

Multiply equation by 100, we get

50x+(150x)25=5000

⇒50x+375025x=5000

⇒25x=1250

⇒x=50

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Answer 2

Given: If Rs. 50 is distributed among 150 children giving 50p to each boy and 25p to each girl.

To find: The number of boys.

Solution:

Let the number of boys be x and let the number of girls be y. The sum of Rs. 150 can be written in paise as 5000 p. This is because 1 rupee is equal to 100 p. Now, the following two equations can be written.

$50p + 25p = 5000$

$x+y=50$

These equations are linear equations and can be solved simultaneously. Now, the equations can be rewritten as follows.

$50x + 25y = 5000$

$25 x + 25 y = 1250$

Next, the second equation is subtracted from the first equation.

$25x = 3750$

$x = 150$

Therefore, the number of boys is​ 150.