5__ pencils &7 pens together cost Rs.50 whereas 7 pencils
& 5 pens together costs Rs. 46.find the cost of one pen & one
pencil __

Solution:

let cost(in RS) of one pencil = x

and cost (in RS) of one pen = y

Therefore , according to question

** 5x+7y = 50 ........ (1)**

** 7x + 5y = 46 .........(2)**

Multiply equation 1 by 7 and equation by 5 we get

7(5x+7y)= 7*50

** 35x +49y = 350 .......(3)**

** ** and

5(7x +5y) = 5*46

**35x +25y = 230 ....... (4)**

Subtract equation 4 from equation 3 , we get

35x + 49y - 35x - 25y = 350 -230

49y -25y = 120

24y = 120

y = 120 /24

** y= 5**

Substitute y=5 in equation 1 , we get

5x + 7*5 =50

5x+35 =50

5x = 50 - 35

5x =15

x= 15/5

x=3

Hence Cost of One Pencil = x =3

Cost of One Pen =y =5

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