Question

The ticket price for a cricket match is Rs. 50 for children and Rs. 100 for adults. There were 10000 people who came to the ground and Rs 750,000 were collected. How many children and how many adults were there in the ground?

Answer 1

Answer:

5000 adults and 5000 children attended the cricket match

Step-by-step explanation:

let number of children be x

let number of adults be y

x + y = 10000      ............ equation 1

total sales from children's tickets = number of children * price of  1 child ticket

= 50x

total sales from adult's tickets = number of adults * price of 1 adult ticket

= 100y

but total sales = 750000

so 50x + 100y = 750000

so 50 ( x + 2y ) = 750000

so x + 2y = 750000/50

so x + 2y = 15000      .............. equation 2

subtract equation 2 - equation 1

=> ( x + 2y = 15000 ) - ( x + y = 10000 )

=>2y -  y = 15000 - 10000

=> y =  5000

apply y = 5000 in equation 1:

x + y = 10000

x = 10000 - y = 10000 - 5000

= 5000

So 5000 adults and 5000 children attended the cricket match