Question

geethu purchased 12pencil and 8,pens for rs.124.neethu purchasef 5pencil and 10 pens for rs 105.from the same traders,at the same,rate.what is the price of one pencil?

Answer 1

Hi ,

Let the cost of each pencil = Rs x

the cost of each pen = Rs y

Geethu purchased 12 pencils , 8 pens for

Rs 124 ,

12x + 8y = 124

divide each term with 4 , we get

3x + 2y = 31 ---( 1 )

Neethu purchased 5pencils and 10 pens

for Rs 105

5x + 10y = 105

divide each term with 5 , we get

x + 2y = 21 ---( 2 )

now ,

subtract equation ( 2 ) from equation ( 1 ) ,

2x = 10

x = 10/2

x = 5

Therefore ,

cost of one pencil = x = Rs 5

I hope this helps you.

: )