Question

5 pencil and 7 pens together cost Rs 50 whereas 7 pencil and 5 pens together cost Rs 46. Find the cost of one pencil and that of one pen​

Answer 1

Answer:

Let pencil be x and let pen be y

5x+7y=50

7x+5y=46

multiply first equation by 7

35x+49y = 350

multiply second equation by 5

35x+25y=230

solving them we get 24y=120 which gives y is 5 rupees

substituting in second equation we get x is 3 rupees

Step-by-step explanation:

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Answer 2

Step-by-step explanation:

let price of one pencil be x rs

let price of one pen be y rs

price of 5 pencils and 7 pens is 50

5x + 7y = 50. (1)

price of 7 pencils and 5 pens is 46

7x + 5y = 46. (2)

Multiplying equ. 1 by 7

35x + 49y = 350. (3)

multiplying equ. 2 by 5

35x + 25y = 230. (4)

subtract equ 4 from 3

24y = 120

y = 5

putting y = 5 in equ.(1)

5x + 7y = 50

5x + 7(5) = 50

5x + 35 = 50

5x = 15

x = 3

Price of one pencil is 3 rs and price of one pen is 5 rs