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Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method : 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 - CBSE Class 10 - Mathematics

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Question

Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method :

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

Solution

Let the fixed charge for first three days and each day charge thereafter be Rs x and Rs y respectively. According to the given information.

x + 4y = 27 ... (1)

x + 2y = 21....(2)

Subtracting equation (2) from equation (1), we obtain

2y = 6

y = 3 ....(3)

Substituting in equation (1), we obtain

x + 12 = 27

x = 15

Hence, fixed charge = Rs 15 And Charge per day = Rs 3

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 10 (2019 to Current)
Chapter 3: Pair of Linear Equations in Two Variables
Ex. 3.40 | Q: 2.5 | Page no. 57
Solution Form the pair of linear equations in the following problems, and find their solutions (if they exist) by the elimination method : 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 Concept: Algebraic Methods of Solving a Pair of Linear Equations - Elimination Method.
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