Question

36 pens and 24 pencils together cost rs702 while
24 pens and 36 pencils together cost is 558 find the cost of a pen

Answer 1

The cost of a pen is 16.5 Rs and a pencil is 4.5 Rs.

Answer 2

Let the cost of one pencil be x and pen be y.

36 x+24 y=702........... (1)

24 x+36y=558.......... (2)

x=(558-36y) /24

Substitute x valune in equation 1

36(558-36 y) /24 + 24 y = 702

(20088-1296y) /24+24y=702

20088-1296y +576 y = 702×24

20088-720y = 16848

-720y = 16848-20088

-720y = -3240

y = -3240/-720

y = 4.5

Substitute y = 4.5 in x value

x = 558-36(4.5)/24

x =558-162/24

x = 396/24

x = 16.5