Case Study on Amusement Park Ticket Sales

Essel World is one of India's largest amusement park that offers a diverse range of thrilling rides and water attractions for visitors of all ages. The entry ticket charges for the park is ₹ 150 per child and ₹ 250 per adult.

On a day cashier of park found that 300 tickets were sold and an amount of ₹ 55,000 was collected.

Based on the above, answer the following questions :

If number of children visited be $x$, the number of adults visited be $y$, write the given situation algebraically.

How many children visited the park that day ?

(a) How many adults visited the park that day ? If there were 50 more adults that day, how much money would have been collected from adults ?

OR

(b) How many adults visited the park that day ? If a special show was arranged and hence the per ticket rate for adults was increased by ₹ 100, totally how much money will be collected ?