Q. 153.6( 7 Votes )

# 5 pencils and 7 pens together cost Rs. 195 while 7 pencils and 5 pens together cost Rs. 153.

Find the cost of each one of the pencil and the pen.

Answer :

Let the cost of pencils be x and cost of pens be y.

The linear equations formed are:

5x + 7y = 195 … (1)

7x + 5y = 153 … (2)

We know that the general form for a pair of linear equations in 2 variables x and y is a_{1}x + b_{1}y + c_{1} = 0

and a_{2}x + b_{2}y + c_{2} = 0.

Comparing with above equations,

we have a_{1} = 5, b_{1} = 7, c_{1} = - 195; a_{2} = 7, b_{2} = 5, c_{2} = - 153

We can solve by cross multiplication method using the formula

Substituting values in the formula, we get

⇒

⇒

⇒ and

⇒ x = 4 and y = 25

__The cost of each pencil is Rs.4 and cost of each pen is Rs.25.__

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