How many classmates did he have?

Question

A generous boy wanted to give sweets to his classmates.

He offered 9 sweets to each boy and 12 sweets to each girl.

One third of the boys in the class accepted the sweets but only one quarter of the girls had the sweets.

If the boy gave out 87 sweets, how many classmates did he have?

Answer 1

total number of students is 29,
because if boys are x and girls are y,
so according to ques. -9*(x\3)+12*(y\4)=87.
=> x+y=29

Comments

thankyou sir

Answer 2

Let x = boys and y = girls
Then we can write the following equation
1/3x * 9 + 1/4y * 12 = 87 ; Then 3x + 3y = 87 or x + y = 29
The answer is 29