The cost of two pencils, five erasers and eight sharpeners is Rs 47. The cost of three pencils,

Name: Problem 44, Chapter 3: The IIT Foundation series of Mathematics Class
Uploaded: 2021-06-09T10:43:44-08:00
Duration: 2 min 27 s
Channel: Swati Agarwal
Description: The cost of two pencils, five erasers and eight sharpeners is Rs 47. The cost of three pencils, three erasers and seven sharpeners is Rs 42 . Find the cost of twelve pencils, three erasers and eighteen sharpeners. (in Rs ) (1) 37 (2) 92 (3) 138 (4) 111

step 1 Now here in this question, it is being said that the cost of two pencils, five razors and each s

Question

The cost of two pencils, five erasers and eight sharpeners is $\mathrm{Rs} 47$. The cost of three pencils, three erasers and seven sharpeners is Rs 42 . Find the cost of twelve pencils, three erasers and eighteen sharpeners. (in $\mathrm{Rs}$ ) (1) 37 (2) 92 (3) 138 (4) 111

   The cost of two pencils, five erasers and eight sharpeners is $\mathrm{Rs} 47$. The cost of three pencils, three erasers and seven sharpeners is Rs 42 . Find the cost of twelve pencils, three erasers and eighteen sharpeners. (in $\mathrm{Rs}$ )
(1) 37
(2) 92
(3) 138
(4) 111

The IIT Foundation series of Mathematics Class

Trishna Knowledge… 5th Edition

Chapter 3, Problem 44

Instant Answer

Solved by Expert Swati Agarwal

06/09/2021

Step 1

Step 1: Let's denote the cost of one pencil as $x$, one eraser as $y$, and one sharpener as $z$. Show more…

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The cost of two pencils, five erasers and eight sharpeners is $\mathrm{Rs} 47$. The cost of three pencils, three erasers and seven sharpeners is Rs 42 . Find the cost of twelve pencils, three erasers and eighteen sharpeners. (in $\mathrm{Rs}$ ) (1) 37 (2) 92 (3) 138 (4) 111

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Key Concepts

Linear Combination

A linear combination is the process of forming a new equation by multiplying given equations by certain coefficients and then adding them together. This technique allows one to directly construct a desired aggregate equation from existing ones, which is particularly useful when computing total costs or sums.

Systems of Linear Equations

This concept involves using multiple equations with several unknown variables, where each equation represents a different relationship or constraint. Solving the system entails finding values for the variables that satisfy all the equations simultaneously.

Elimination Method

The elimination method is a strategy for solving systems of linear equations by adding or subtracting equations to remove one variable at a time. This simplifies the system, making it easier to solve for the remaining variables.

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