# 5 pens and 6 pencils together cost Rs. 9.00 .and 3 pens and 2 pencils cost Rs.5.00 . find the cost of 1 pen and 1 pencil.

Assume the cost of 1 pen is Rs. x , of 1 pencil is Rs. y .

ATQ

5x + 6y =Rs. 9.00 ...(i)

3x + 2y =Rs.5.00 ...(ii)

3xEquation (ii) - Equation (i)

9x + 6y - 5x -6y = 15 - 9

4x = 6

x = 3/2  =>  y = 1/4

Hence the cost of 1 pen is Rs 1.5 and of 1 pencil is Rs 0.25 .

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