- A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs \\[27\\] for a book kept for seven days, while Susy paid Rs \\[21\\] for the book she kept for five days. Find the fixed charge and the charge for each extra day.
- A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs. 22 for a book kept for six days, while Anand paid Rs. 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.
- A lending library has a fixed charge for the first three days and an additional charges for each day thereafter. Shital paid Rs. 36 for a book kept for 10 days. Write a linear equation which satisfies the data. Also draw the graph for the same.
- A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and charge for each extra day.
- A lending library has a fixed charge for the first three days and an additional charge for each day thereafter.
- RD Sharma Solutions Class 9 Maths Exercise 13.3 Chapter 13 Linear Equations in Two Variables
- A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs \\[27\\] for a book kept for seven days, while Susy paid Rs \\[21\\] for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Hint- Use elimination method to solve the equation i.e. Make the coefficients equal to any of the one variable of the two equations and then subtract the equations. According to the question Let the fixed charge for first $3$ day \[ = x\] and additional charge per day \[ = y\] As per the statement in the question it is given that saritha kept a book for $7$ days that means kept $4$ days additional. Therefore, \[ \Rightarrow x + 4y = 27\] …………….(1) Similarly, it is given that susy kept the book for $5$ days that means kept $2$ days additional. Therefore, \[ \Rightarrow x + 2y = 21\] ……………..(2) By subtracting eq(2) from eq(1), we get \[ \Rightarrow \right) \\ \] Gives \[ \Rightarrow 2y = 6 \Rightarrow y = 3\] Now put the $y$ value in eq(1), we get \[ \Rightarrow x + 4 \times 3 = 27 \\ \Rightarrow x = 15 \\ \] So, the fixed charges are Rs.$15$ and The additional charges for each extra day are Rs.$3$. Note – Whenever this type of question appears read the question carefully, and note down given details and thereafter make the equations accordingly. Use the Elimination method to solve the two-equation made. The idea here is to solve one of the equations for one of the variables, and substitute the obtained variable value into any of the equations to get the other variable.
A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs. 22 for a book kept for six days, while Anand paid Rs. 16 for the book kept for four days. Find the fixed charges and the charge for each extra day.
A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs. 22 for a book kept for six days, while Anand paid Rs. 16 for the book kept for four days. Find the fixed charges and the charge for each extra day. A shopkeeper gives books on rent for reading. She takes a fixed charge for the first two days, and an additional charge for each day thereafter. Latika paid Rs. 2 2 for a book kept for six days, while Anand paid Rs. 1 6 for the book kept for four days. Find the fixed charges and the charge for each extra day. A part of monthly hostel charges in a college are fixed and the remaining depends on the number of days one has taken food in the mess.when a student A takes food for 25 days , he has to pay 3500 as hostel charges whereas student B who takes food for 28 days , pays 3800 as hostel charges. find the fixed charges and the cost of the food per day.
A lending library has a fixed charge for the first three days and an additional charges for each day thereafter. Shital paid Rs. 36 for a book kept for 10 days. Write a linear equation which satisfies the data. Also draw the graph for the same.
Reading book in a library has a fixed charge for the first three days and an additional cahrge for each day thereafter. Shristi paid Rs. 2 7 for a book kept for seven days. While Bunty paid Rs. 2 1 for the book kept for five days. (i) find the fixed charge. (ii) find how much additional charge Shristi and Bunty paid. (iii) Which mathematical concept is used in this problem? (iv) Which value does it depict? The taxi charges in a city consist of a fixed 2 M charge together with the charge for the distance covered. For a distance of 1 0 k m, the charge paid is R s 1 0 5 & for a journey of 1 5 k m the charge paid is R s 1 5 5. What w the fixed charges and the charge per k m? How much does a person have to pay for travelling a distance of 2 5 k m?
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and charge for each extra day.
Hint: Consider the fixed charge as ‘x’ and additional charge as ‘y’. Saritha paid Rs. 27 for seven days; additional charge is for 7-3 =4 days. So, $3x + 4y = 27$ as 3 days has fixed charge and 4 days has additional charge for Saritha. Susy paid Rs. 21 for five days; additional charge is for 5-3=2 days. So, $3x + 2y = 21$ as 3 days have fixed charge and 2 days have additional charge for Susy.Solve these two equations to find the answer. Complete step-by-step solution: We are given that a lending library has a fixed charge for the first three days and additional charge for each day thereafter. We need to find the fixed charge and charge for each extra day. Let the fixed charge be ‘x’ and additional charge be ‘y’ Saritha paid Rs. 27 for a book for seven days, 3 days has fixed charge and the remaining 4 days have additional charge. $3x + 4y = 27$ $ \to eq(1)$ Susy paid Rs. 21 for a book for five days, 3 days has fixed charge and the remaining 2 days have additional charge. $3x + 2y = 21$ $ \to eq(2)$ By solving equations 1 and 2 we will get the fixed charge and additional charge. $ 3x + 4y = 27 \\ 3x = 27 - 4y \to eq(3) \\ $ Substitute eq (3) in eq (2) $ 3x + 2y = 21 \\ 27 - 4y + 2y = 21 \\ 27 - 2y = 21 \\ 2y = 27 - 21 \\ 2y = 6 \\ y = \dfrac = 5 \\ $ Therefore, the fixed charge ‘x’ is 5. Note: In this question, the linear equations are solved using substitution method. Linear equations with two variables can also be solved using the Graphing method and elimination method.
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter.
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RD Sharma Solutions Class 9 Maths Exercise 13.3 Chapter 13 Linear Equations in Two Variables
CBSE Study Material • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • • RD Sharma Solutions for Class 9 Maths Chapter 13 Linear Equation in Two Variables Exercise 13.3 are given here. In this exercise, students will learn how to solve linear equations with the help of various solved examples. Exercise 13.3 of Chapter 13 deals with the graph of linear equations in two variables. In order to find the graph of linear equations in two variables, first, we need to obtain the linear equation in the form ax + by + c = 0. Express y in terms of x. Given any values of x and calculate the corresponding values of y. Plot the points on the graph and draw a line passing through the points marked. The line so obtained is the graph of the given equation. Previous Next Access Answers to RD Sharma Solutions for Class 9 Maths Chapter 13 Linear Equations in Two Variables Exercise 13.3 Page Number 13.23 Question 1: Draw the graph of each of the following linear equations in two variables: (i) x + y = 4 (ii) x – y = 2 (iii) -x + y = 6 (iv) y = 2x (v) 3x + 5y = 15 (vi...
A lending library has a fixed charge for the first three days and an additional charge for each day thereafter. Saritha paid Rs. 27 for a book kept for seven days, while Susy paid Rs. 21 for the book she kept for five days. Find the fixed charge and the charge for each extra day.
Let the fixed charge for 3 days = x and additional charge = y According to the question ⇒ x + 4 y = 2 7 . . . . e q 1 ⇒ x + 2 y = 2 1 . . . . e q 2 Subtract e q 1 and e q 2 ⇒ ( 3 x + 4 y = 2 7 ) − ( 3 x + 2 y = 2 1 ) ⇒ 2 y = 6 ⇒ y = 3 put y = 3 in e q 1 ⇒ x + 4 × 3 = 2 7 ⇒ x = 1 5 Fixed charges = Rs. 1 5 The charge for each extra day = Rs. 3
