Easel World is one of India's largest amusement parks that offers a diverse range of thrilling rides, water attractions and entertainment options for visitors of all ages. The park is known for its ic

Question

Easel World is one of India's largest amusement parks 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 a popular destination for family outings and fun-filled adventures. The ticket charges for the park are $\rupee 150$ per child and $\rupee 250$ per adult.

On a day, the cashier of the park found that 300 tickets were sold and an amount of $\rupee 55{,}000$ 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) (b) How many adults visited the amusement park that day?
(iii) How much amount will be collected if 250 children and 100 adults visit the amusement park?

Accepted Answer

Step 1: (i) $x + y = 300$ ...(i) and $150x + 250y = 55000$ ...(ii)
Step 2: (ii)(b) Solving equations (i) and (ii): Number of adults visited park $(y) = 100$
Step 3: (iii) Amount collected $= 250 	imes 150 + 100 	imes 250 = 37500 + 25000 = upee 62{,}500$

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