Question

5 pencils and 7 pens together cost Rupees 50 whereas 7 pencils and pens together cost rupees 46 find the cost of one pen and pencil​

Answer 1

Step-by-step explanation:

let the cost of one pencil be "x"

and that of one of one pen be "Y"

this is how you solve it but you did not give how many pens in second case

Answer 2

Answer:

cost of 1 pencil = x = Rs 3

cost of 1 pen = y = Rs 5

Step-by-step explanation:

let the cost of pencil be x

and the cost of pen be y

--------

according to the question,  (you didn't give the number of pens in the second case, so I estimated it to be 5 because I have see this question In my book earlier)

5x + 7y = 50 ------- (1)

7x + 5y = 46 ------- (2)

by elimination method,

        5x + 7y = 50

        7x + 5y = 46

add  12x + 12y = 96

        12(x + y) = 96

            x + y = 8 -----(3)

         

       5x + 7y = 50

       7x + 5y = 46

sub  - 2x + 2y = 4

          2(x - y) = -4

             x - y = -2 -----(4)

using elimination method for eq. (3) and (4)

        x + y = 8

        x - y = -2

add   2x = 6

           x = 3

x + y = 8

3 + y = 8

    y = 5

∴cost of 1 pencil = x = Rs 3

 cost of 1 pen = y = Rs 5

hope this helps..

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