Question

2000 tickets were sold in an exhibition on Saturday. The cost of a ticket for an adult is $4 and for a child is $2. The total amount collected on Saturday was $6400. Find the number of adult tickets and child tickets sold on Saturday.

Answer 1

adult ticket = x
child ticket = y
total ticket = 2000
therefore, x+y= 2000 (1)

now
adult ticket cost = 4
child ticket cost = 2
total amout = 6400
now, 4x + 2y = 6400 (2)

multiply (1) by 2 and subtract from (2)
you will get x = 1200 and y = 800
adult tickets = 1200
child tickets = 800

Answer 2

Hii frnd.

Let the no. of ticket for adults be x
And for children be y
x+y=2000 eq.1
4x+2y=6400 eq.2
On solving it simultaneously
Multiply eq.1 by 4
4x+4y=8000
4x+2y=6400
2y=1600
y=800

Now,putting the value of y in eq.1
x+y=2000
x=2000-800
x=1200

Hope it helped u.