Question

In a cinema halls 300 tickets were sold.the total sale of tickets were rs 1250.of the tickets were of two denominations rs 2.50 and rs.5.00

Answer 1

Let the number of Rs 2.50 tickets be x and 5.00 tickets be y.
As per the question, x+y = 300 (eq.1)
Also, 2.5x + 5.0x = 1250
         2.5 ( x+2y)  = 1250
                 x+ 2y  = 1250/2.5
                 x+ 2y  = 500  (eq.2)

(eq 2) - (eq 1)
x+2y - x-y = 500-300
              y = 200

Substitute y in eq 1
x+200 = 300
x         = 300-200
       x  = 100

Therefore, there are 100 Rs 2.5 tickets and 200 Rs 5.00 tickets.

Answer 2

Answer

Let the number of Rs 2.50 tickets be x and 5.00 tickets be y.

As per the question, x+y = 300 (eq.1)

Also, 2.5x + 5.0x = 1250

         2.5 ( x+2y)  = 1250

                 x+ 2y  = 1250/2.5

                 x+ 2y  = 500  (eq.2)

(eq 2) - (eq 1)

x+2y - x-y = 500-300

              y = 200

Substitute y in eq 1

x+200 = 300

x         = 300-200

       x  = 100

Therefore, there are 100 Rs 2.5 tickets and 200 Rs 5.00 tickets.