Question:
Eighty five children went to an amusement park where they could ride on the merry-go-round, roller coaster, and Ferris wheel. It was known that 20 of them took all three rides, and 55 of them took at least two of the three rides. Each ride cost Re. 1, and the total receipt of the amusement park was Rs. 145.
How many children took exactly one ride?
Eighty five children went to an amusement park where they could ride on the merry-go-round, roller coaster, and Ferris wheel. It was known that 20 of them took all three rides, and 55 of them took at least two of the three rides. Each ride cost Re. 1, and the total receipt of the amusement park was Rs. 145.
How many children took exactly one ride?
How many children took exactly one ride?
Show Hint
Count the rides taken by those with two and three rides, and subtract from the total receipts.
Updated On: Nov 5, 2026
- 5
- 10
- 15
- 20
Show Solution
Verified By Collegedunia
The Correct Option is C
Solution and Explanation
Step 1: Children with two and three rides:
20 took all three rides. Exactly two rides: \(55 - 20 = 35\) children.
Step 2: Rides they account for:
\(3 \times 20 + 2 \times 35 = 130\) rides out of the 145 sold (Re. 1 each).
Step 3: Exactly one ride:
The other \(145 - 130 = 15\) rides were taken by children with a single ride, so 15 children took exactly one ride.
Final Answer:
The correct option is (3): 15.
20 took all three rides. Exactly two rides: \(55 - 20 = 35\) children.
Step 2: Rides they account for:
\(3 \times 20 + 2 \times 35 = 130\) rides out of the 145 sold (Re. 1 each).
Step 3: Exactly one ride:
The other \(145 - 130 = 15\) rides were taken by children with a single ride, so 15 children took exactly one ride.
Final Answer:
The correct option is (3): 15.
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