Question

5 pencils and 3 pens together cost Rs 44 and 9 pencils and 5 pens cost Rs 77 . Find the cost of one pencil and one pen ​

Answer 1

step by step explanation:

let the pencils be x

and the pens be y

(5x+3y=44) ×5

(9x+5y=77) ×3

25x+15y=220

_

27x+15y=231

25 - 27= -2x

15-15 = 0y

220- 231 = -11

-2x= -11

x= -11÷ -2

x= 11/25

3y= 44 -5(11/2)

3y= 44-27.5

3y=16.5

y=16.5÷3

y= 5.5 or 5 1/2.

one pencils = Rs 11/2

and

one pens= Rs 5 1/2