Question

A total of 925 tickets were sold for ₹59250. If adult tickets cost ₹75 and children's ticket cost ₹30 how many tickets of each kind wear sold?

Answer 1

Let the no.of adult tickets be 'x' and children tickets be 'y'

Total no.of tickets = 925

so x + y = 925..(1)

cost of adult ticket =75

cost of children's ticket = 30

Total sales = 59250

so

75x + 30y = 59250..(2)

we know that x + y = 925

x = 925 - y..(3)

subsitute (3) in (2)


75x + 30y = 59250

75(925 -y ) + 30y = 59250

-75y + 69375 + 30y = 59250

-45y = 59250 - 69375

-45y= -10125

y = -10125/-45 = 225 children tickets . subsitute it in (3)

x = 925 - y

x = 925 - 225 = 700 = adult tickets