Question

for a show, two types of tickets were sold,one costing Rs.250 and other Rs.100.Total number of tickets were 65 and total collection was Rs.4500.Find the number of tickets sold of each type?

Answer 1

The number of ₹ 50 tickets = 40 and the number of ₹ 100 tickets = 25

Step-by-step explanation:

Let the number of ₹ 50 tickets = x and

The number of ₹ 100 tickets = y

To find, the number of tickets sold of each type = ?

According to question,

x + y = 65                                          .......(1)

And, 50x + 100y = 4500                  .......(2)

Multiplying equation (1) by 100, we get

100x + 100y = 6500                         .......(3)

Subtracting (3) from (2), we get

100x + 100y - (50x + 100y) = 6500 - 4500  

⇒ 100x + 100y - 50x - 100y = 6500 - 4500  

⇒ 50 x = 2000

⇒ $x=\dfrac{2000}{50} =40$

Putting the value of x in equation (1), we get

40 + y = 65  

⇒ y = 65 - 40 = 25

Thus, the number of ₹ 50 tickets = 40 and the number of ₹ 100 tickets = 25.