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Neetas volvo bus takes 50 boys to a field trip. Some of them take Rs. 20 tickets while the rest take Rs. 45 tickets. If the total cost of tickets purchased is Rs.2000, how many boys took the tickets of Rs. 20 each?
answer is 15. can you explain this?
Most Upvoted Answer
Neetas volvo bus takes 50 boys to a field trip. Some of them take Rs. ...
Understanding the Problem
To solve the problem, we need to find out how many boys purchased the Rs. 20 tickets. We know:
- Total boys = 50
- Total ticket cost = Rs. 2000
- Cost of Rs. 20 tickets = Rs. 20 each
- Cost of Rs. 45 tickets = Rs. 45 each
Setting Up Equations
Let’s denote:
- x = number of boys who took Rs. 20 tickets
- y = number of boys who took Rs. 45 tickets
From the information given, we can create the following equations:
1. Total boys equation:
- x + y = 50
2. Total cost equation:
- 20x + 45y = 2000
Solving the Equations
We can use these equations to find the values of x and y.
1. From the first equation, we can express y in terms of x:
- y = 50 - x
2. Substituting y in the second equation:
- 20x + 45(50 - x) = 2000
3. Simplifying this gives:
- 20x + 2250 - 45x = 2000
- -25x + 2250 = 2000
- -25x = 2000 - 2250
- -25x = -250
- x = 10
Verifying the Solution
Now that we have x, we can find y:
- y = 50 - x = 50 - 10 = 40
Now let's verify the total cost:
- Total cost = 20(10) + 45(40) = 200 + 1800 = 2000
Conclusion
Thus, the number of boys who took the Rs. 20 tickets is indeed 10.
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Neetas volvo bus takes 50 boys to a field trip. Some of them take Rs. 20 tickets while the rest take Rs. 45 tickets. If the total cost of tickets purchased is Rs.2000, how many boys took the tickets of Rs. 20 each?answer is 15. can you explain this?
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Neetas volvo bus takes 50 boys to a field trip. Some of them take Rs. 20 tickets while the rest take Rs. 45 tickets. If the total cost of tickets purchased is Rs.2000, how many boys took the tickets of Rs. 20 each?answer is 15. can you explain this? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Neetas volvo bus takes 50 boys to a field trip. Some of them take Rs. 20 tickets while the rest take Rs. 45 tickets. If the total cost of tickets purchased is Rs.2000, how many boys took the tickets of Rs. 20 each?answer is 15. can you explain this? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Neetas volvo bus takes 50 boys to a field trip. Some of them take Rs. 20 tickets while the rest take Rs. 45 tickets. If the total cost of tickets purchased is Rs.2000, how many boys took the tickets of Rs. 20 each?answer is 15. can you explain this?.
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