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Essel 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 adventure. The ticket 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) (a) How many children visited the amusement park that day?
OR
(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 ?
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) (a) How many children visited the amusement park that day?
OR
(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 ?
Show SolutionHide Solution↓
i) $$\begin{aligned}& x + y = 300 ...........(i) \\ & 150 x + 250 y = 55000..........(ii) \\ & (ii) (a) \text{ Solving equation (i) and (ii)} \\ & \text{Number of children visited park } (x) = 200 \\ & \text{OR} \\ & (b) \text{ Solving equation (i) and (ii)} \\ & \text{Number of adults visited park } (y) = 100 \\ & (iii) \text{ Amount collected } = 250 \times 150 + 100 \times 250 = \text{\text{Rs} } 62500\end{aligned}$$