The Pencil Eraser Cost Problem is given below

**Question:**

Romila went to a stationary stall and purchased 2 pencils and 2 erasers for Rs 8.

Her friend Sonali saw new variety of pencils and erasers with Romila, and she also bought 4 pencils and 6 erasers for Rs 18.

Find the cost of a pencil and an eraser?

**Answer:**

Let the cost of a pencil be Rs x and the cost of an eraser be Rs y.

It is given that Romila purchased 2 pencils and 2 erasers for Rs 8.

So, 2x+2y=8

=> x+y=4 ……………. (1)

=> x=4-y …………….. (2)

It is also given that Sonali purchased 4 pencils and 6 erasers for Rs 18.

That is, 4x+6y=18

=> 2x+3y=9 …………. (3)

putting the value of equation (2) into equation (3), we get

2(4-y)+3y=9

=> 8-2y+3y=9

=> 3y-2y=9-8

=> y=1

put the value of y in equation (2),

x=4-y

=> x=4-1

=> x=3

The cost of a pencil is Rs 3 and the cost of an eraser is Rs 1.

Got a question ? Leave me a COMMENT AND ILL GET BACK TO YOU!