Rs. 49.25 was divided into 150 children Such that each boy got Rs. 0.25 and each girl Rs. 0.50 How many boys and girls are there?

Answer 1

Let x be the number of boys and y be the number of girls. That gives us two equations:

x + y = 150 and

.25x + .5y = 49.25.

Solve the first equation for x:

x = 150 - y.

Plug that value of x into the second equation:

.25(150 - y) + .5y = 49.25

Solve for y:

37.5 - .25y + .5y = 49.25,

.25y = 11.75,

y = 47.

Thus, there are 47 girls. Plug this value back into the first equation to get the number of boys:

x + 47 = 150,

x = 103.