Question

5000rs. was distributed among 85 students to buy books. Each student was given 50RS. or 100RS. find the number of students who got 50RS. and 100RS. respectively.

Answer 1

Let the students who got 50rs = x

Let the students who got 100rs = y

A.T.Q

1st condition

x+y = 85 (eq.1)

2nd condition

50x+100y = 5000 (divided by 50)

x+2y = 100

By elimination method

By subtracting both the equation we get

-y = -15

y= 15

putting the value of Y in equation (1)

x+15 = 85

x = 85-15

x = 70

The number of students who got 50rs=70

The number of students who got 100rs = 15

ANSWER