Question

The sum of two books and pencil is Rs. 6.00. the difference of cost between 3 books and 2 pencils is Rs. 2.00. Find the cost of a book and pencil.​

Answer 1

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Let the cost of an exercise book be Rs.x

Let the cost of a pencil be Rs.y

2x+3y=17 Blue line

3x+4y=24 Red line

Corresponding graph is shown in the attached figure. From the graph, it can be seen the solution is x=4,y=3.

Hence, the cost of exercise book is Rs.4 and that of a pencil is Rs.3.

Answer 2

Let the cost of an exercise book be Rs.x

Let the cost of a pencil be Rs.y

2x+3y=17 Blue line

3x+4y=24 Red line

Corresponding graph is shown in the attached figure. From the graph, it can be seen the solution is x=4,y=3.

Hence, the cost of exercise book is Rs.4 and that of a pencil is Rs.3.