Question

An amount of Rs 780 is distributed among 60 students of a class, such that each boy gets Rs 15 and each girl gets Rs 10. Find the
number of boys in the class?
24
36
40
20​

Answer 1

Step-by-step explanation:

36 is answer to the question

Answer 2

There are 36 boys in the class.

Given:

total amount distributed = Rs. 780

total number of students = 60

the amount received by every boy = Rs. 15

the amount received by every girl = Rs. 10

To Find:

the number of boys in the class

Solution:

let the number of boys be x and the number of girls be y

then, x + y = 60

⇒ x = 60 - y

also, 15x + 10y = 780

substituting x = (60 - y) in the above equation we get-

15(60 - y) + 10y = 780

900 - 15y + 10y = 780

900 - 5y = 780

5y = 900 - 780

y = 120/5

y = 24

⇒ x = 60 - 24 = 36

Thus, there are 36 boys in the class.

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