Question

A sum of Rs. 41 was divided among 50 boys and girls. each boy gets 90 paisa and a girl 65 paisa. find the number of boys and girls. select one:

a. 36, 14
b. 34, 16
c. 30, 20
d. 24, 15

Answer 1

To find the number of boys and girls, set up a system of equations and solve for x and y. The correct answer is b. 34, 16.

Step-by-step explanation:

To find the number of boys and girls, we can set up a system of equations based on the given information.

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

From the given information, we can set up two equations:

x + y = 50 (equation 1)

0.90x + 0.65y = 41 (equation 2)

Multiplying equation 1 by 0.90, we get 0.90x + 0.90y = 45.

Subtracting equation 2 from this new equation, we get:

0.90y - 0.65y = 45 - 41

0.25y = 4

y = 4/0.25

y = 16

Substituting the value of y in equation 1, we get:

x + 16 = 50

x = 50 - 16

x = 34

Therefore, the number of boys is 34 and the number of girls is 16.