Question

5 pencils and 7 pens together cost Rs. 50 whereas 7 pencils and 5 pens together cost Rs. 46. Find the cost of one pencil and that of one pen.

Answer 1

Let the cost of each pencil be Rs. x and the cost of each pen be Rs. y. 

By problem 5x + 7y = 50 

7x + 5y = 46

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The lines are intersecting at the point (3, 5). 

x = 3 and y = 5 is the solution of given equations. 

∴ Cost of one pencil = Rs. 3 and pen = Rs. 5