Essel World is one of India's largest adventure world that offers a diverse range of thrilling rides, water attractions and entertainment options for visitors of all ages. The park is known for its iconic "Water Kingdom" section, making it popular destination for family outings and fun-filled adventure. The tickets charges for the park are \(₹ 150\) per child and \(₹ 250\) per adult.
On a day, the cashier of the park found that \(300\) tickets were sold and an amount of \(₹ 55,000\) was collected.
Based on the above, answer the following questions :
(i) If the number of children visited be \(x\) and the number of adults visited be \(y\), then write the given situation algebraically.
,
(ii) Determine the number of children who visited the adventure world that day.
(iii) How many adults visited the adventure world that day?
(iv) How much amount will be collected if \(250\) children and \(100\) adults visit the adventure world?
\(₹\)
[Note: Enter the equations without simplifying]