✓ Board-verified↻ asked 3×
Mathematics · 2024 · 4 marks
CBSE 2024 · Region 5 · Set 1 · Q36
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 ₹ $\displaystyle 150$ per child and ₹ $\displaystyle 250$ per adult.
On a day, the cashier of the park found that $\displaystyle 300$ tickets were sold and an amount of ₹ $\displaystyle 55,000$ 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)How many children visited the amusement park that day ?How many adults visited the amusement park that day ?(iii)How much amount will be collected if $\displaystyle 250$ children and $\displaystyle 100$ adults visit the amusement park ?
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 ₹ $\displaystyle 150$ per child and ₹ $\displaystyle 250$ per adult.
On a day, the cashier of the park found that $\displaystyle 300$ tickets were sold and an amount of ₹ $\displaystyle 55,000$ 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)
How many children visited the amusement park that day ?
How many adults visited the amusement park that day ?
(iii)
How much amount will be collected if $\displaystyle 250$ children and $\displaystyle 100$ adults visit the amusement park ?
Marking-scheme solution
i) \(\displaystyle \mathrm{x}+\mathrm{y}=300 \ldots \ldots\) (i) \(\displaystyle 150 \mathrm{x}+250 \mathrm{y}=55000 \ldots \ldots \ldots . \ldots\) (ii)
(ii) (a) Solving equation (i) and (ii) Number of children visited park \(\displaystyle (x)=200\) OR
(b) Solving equation (i) and (ii) Number of adults visited park (y) = $\displaystyle 100$
(iii) Amount collected \(\displaystyle =250 \times 150+100 \times 250=₹ 62500\)
More from Quadratic Equations
- A garden designer is planning a rectangular lawn that is to be surrounded by a uniform walkway. The total…2025 · asked 3×
- In the picture given below, one can see a rectangular in-ground swimming pool installed by a family in their…2022 · asked 3×
- In the given figure, a circle is centred at (1, 2). The diameter of the circle is2026 · asked 3×
- A rectangular floor area can be completely tiled with 200 square tiles. If the side length of each tile is…2024 · asked 3×
- Statement A (Assertion): If 5+√7 is a root of a quadratic equation with rational co-efficients, then its…2023 · asked 3×
- The value of ' a ' for which a x^2+x+a=0 has equal and positive roots is:2025 · asked 3×
- The roots of the equation x^2+3 x-10=0 are:2023 · asked 3×
- Find the value of m for which the quadratic equation (m-1) x^2+2(m-1) x+1=0 has two real and equal roots. OR…2022 · asked 3×
CBSE Class 10 Mathematics past-paper question from the 2024board exam, with the answer as CBSE’s own marking scheme gives it. Where our answers come from.