Question

During a social event for children 1000 tickets were sold in total where tickets for adults were sold at Rs 85 and for children the cost was Rs 45 and a total of Rs 72000 was collected. How many tickets of each kind of each kind were sold ?

Answer 1

Let the no. of adults be x and the no. of children be y
According to the given conditions , 
x+y=1000 
85x + 45y = 72000

=> x+y = 1000 ----(1)
17x + 9y = 14400 ----(2) [Dividing both sides by 5]

By (1),
x = 1000 - y
Putting x in (2),
=> 17 ( 1000 - y ) + 9y = 14400
=> 17000 - 17y + 9y = 14400
=> - 8y = -2600
=> y = 2600/8 = 325
Putting y in (1),
=> x + 325 = 1000
=> x = 675
Therefore , 675 adult tickets were sold and 325 children tickets were sold

Answer 2

Let the no. of adults be x and the no. of children be y

According to the given conditions ,

x+y=1000

85x + 45y = 72000

=> x+y = 1000 ----(1)

17x + 9y = 14400 ----(2) [Dividing both sides by 5]

By (1),

x = 1000 - y

Putting x in (2),

=> 17 ( 1000 - y ) + 9y = 14400

=> 17000 - 17y + 9y = 14400

=> - 8y = -2600

=> y = 2600/8 = 325

Putting y in (1),

=> x + 325 = 1000

=> x = 675

Therefore , 675 adult tickets were sold and 325 children tickets were sold