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## Explanation

- Two pens and three pencils cost 86.

- Four pens and a pencil cost 112.

- Let suppose “p” shows pen and “c” shows pencil.

2p + 3c = 86 (as 2 pens and 3 pencils cost 86).

4p + c = 112 (as 4 pens and a pencil cost 112).

By solving, these two equations simultaneously p = 25 and c = 12 which are required answers.

## To Find

Price of a pen = ?

Price of a pencil = ?

## Solution

Let suppose “p” shows pen and “c” shows pencil.

Now, according to given condition;

2p + 3c = 86 _______ (i)

4p + c = 112 _______ (ii)

Multiplying equation (i) with 2; we have

4p + 6c = 172 ______ (iii)

Now, subtracting equation (ii) from (iii)

(4p + 6c) – (4p + c) = 172 – 112

4p + 6c – 4p – c = 60

5c = 60

c = 12 putting this value in equation (i)

2p + 3(12) = 86

2p + 36 = 86

2p = 86 – 36

2p = 50

p = 25

so; **price of pen **=** 25 **and** pencil **=** 12 answer**

## Conclusion

Two pens and three pencils cost 86. Four pens and a pencil cost 112. The cost of a pen and that of a pencil will be 25 and 12 respectively.