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The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.
(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.
(ii) If you borrow the book for 7 days what amount will you have to pay
(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.?
(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.
(ii) If you borrow the book for 7 days what amount will you have to pay
(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.?
Most Upvoted Answer
The RWA of a locality is running a lending library to develop the habi...
Linear Equation Representation
To represent the lending library's payment structure, we can formulate a linear equation based on the number of days a book is borrowed.
- For the first 5 days, the charge is Rs. 10.
- For each day beyond 5 days, an additional Rs. 3 is charged.
The equation can be expressed as:
- If \( x \leq 5 \):
- \( y = 10 \)
- If \( x > 5 \):
- \( y = 10 + 3(x - 5) \)
Thus, the complete linear equation becomes:
- \( y = 10 + 3(x - 5) \) for \( x > 5 \)
---
Amount for Borrowing 7 Days
To calculate the amount payable for borrowing a book for 7 days:
- For the first 5 days: Rs. 10
- For the next 2 days (7 - 5): 2 days × Rs. 3 = Rs. 6
Total amount:
- \( y = 10 + 6 = Rs. 16 \)
---
Calculating Days for Borrowing Two Books
Given that the total payment for borrowing two books is Rs. 40, we can derive the equation.
1. Let \( d \) be the number of days for which each book is borrowed.
2. The total amount for two books:
- For \( d \leq 5 \):
- Total = \( 2 \times 10 = 20 \) (not possible since total is Rs. 40)
- For \( d > 5 \):
- Total = \( 2(10 + 3(d - 5)) = 40 \)
Setting up the equation:
- \( 20 + 6(d - 5) = 40 \)
- \( 6(d - 5) = 20 \)
- \( d - 5 = \frac{20}{6} = \frac{10}{3} \)
- \( d = \frac{10}{3} + 5 = \frac{25}{3} \approx 8.33 \)
Since \( d \) must be a whole number, we can conclude that the books were borrowed for approximately 9 days.
---
In summary, the borrowing framework encourages reading while providing a structured payment system that can be computed easily using linear equations.
To represent the lending library's payment structure, we can formulate a linear equation based on the number of days a book is borrowed.
- For the first 5 days, the charge is Rs. 10.
- For each day beyond 5 days, an additional Rs. 3 is charged.
The equation can be expressed as:
- If \( x \leq 5 \):
- \( y = 10 \)
- If \( x > 5 \):
- \( y = 10 + 3(x - 5) \)
Thus, the complete linear equation becomes:
- \( y = 10 + 3(x - 5) \) for \( x > 5 \)
---
Amount for Borrowing 7 Days
To calculate the amount payable for borrowing a book for 7 days:
- For the first 5 days: Rs. 10
- For the next 2 days (7 - 5): 2 days × Rs. 3 = Rs. 6
Total amount:
- \( y = 10 + 6 = Rs. 16 \)
---
Calculating Days for Borrowing Two Books
Given that the total payment for borrowing two books is Rs. 40, we can derive the equation.
1. Let \( d \) be the number of days for which each book is borrowed.
2. The total amount for two books:
- For \( d \leq 5 \):
- Total = \( 2 \times 10 = 20 \) (not possible since total is Rs. 40)
- For \( d > 5 \):
- Total = \( 2(10 + 3(d - 5)) = 40 \)
Setting up the equation:
- \( 20 + 6(d - 5) = 40 \)
- \( 6(d - 5) = 20 \)
- \( d - 5 = \frac{20}{6} = \frac{10}{3} \)
- \( d = \frac{10}{3} + 5 = \frac{25}{3} \approx 8.33 \)
Since \( d \) must be a whole number, we can conclude that the books were borrowed for approximately 9 days.
---
In summary, the borrowing framework encourages reading while providing a structured payment system that can be computed easily using linear equations.
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The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.?
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The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.?.
The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.? for UPSC 2024 is part of UPSC preparation. The Question and answers have been prepared according to the UPSC exam syllabus. Information about The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.? covers all topics & solutions for UPSC 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.?.
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The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.?, a detailed solution for The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.? has been provided alongside types of The RWA of a locality is running a lending library to develop the habit of reading books among society. To run this library, they charge a fixed amount of Rs.10 for first five days for a book and Rs.3 for each day thereafter.(i) Write the linear equation to represent the condition by taking x as total number. of days and total amount to be paid as y.(ii) If you borrow the book for 7 days what amount will you have to pay(iii) If you borrow two books at the same time and you paid total amount as Rs.40, then find the number of days for which books were borrowed.? theory, EduRev gives you an
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