Question

The cost of 16 pens and 8 pencils is rs.352 and the cost of 4 pens and 4 pencils is rs.96. find the cost of each pen?

Answer 1

the cost of one pen = 20 and the cost of one pencil = 4

Answer 2

Answer:

Cost of each pen is Rs.20

Step-by-step explanation:

Let the cost of 1 pen be x

Cost of 16 pens = 16x

Cost of 4 pens = 4x

Let y be the cost of 1 pencil

Cost of 8 pencils = 8y

Cost of 4 pencils = 4y

Since we are given that The cost of 16 pens and 8 pencils is rs.352

So, $16x+8y=352$

$4x+2y=88$ --A

We are given that the cost of 4 pens and 4 pencils is rs.96.

$4x+4y=96$  ---B

Substitute the value of 4x from A in B

$88-2y+4y=96$

$88+2y=96$

$2y=8$

$y=4$

Substitute the value of y in A

$4x+2(4)=88$

$4x+8=88$

$4x=88-8$

$4x=80$

$x=20$

So, cost of each pen is Rs.20