Question

Three pens and five pencils together costs Rs.55. If each pen costs two times that of each pencil, find the cost of each pen and each pencil. ​

Answer 1

Step-by-step explanation:

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Answer 2

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We can solve for the cost of pen and pencil by considering them some variables. And organising them into some equations and solving them accordingly.

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

According to Equation -1)

Three pens and five pencils together costs Rs.55

• 3 times cost of pen = 3x
• 5 times cost of pencil = 5y

⇛ 3x + 5y = 55 ---------(1)

According to Equation -2)

Each pen costs two times that of each pencil

⇛ x = 2y

⇛ x - 2y = 0 --------(2)

Multiplying 3 with equation (2),

⇛ 3(x - 2y) = 3 × 0

⇛ 3x - 6y = 0

Subtracting eq.(2) from eq.(1),

⇛ 3x + 5y - (3x - 6y) = 55 - 0

⇛ 3x + 5y - 3x + 6y = 55

⇛ 11y = 55

⇛ y = 5

Putting value of y in eq. (2),

⇛ x - 2(5) = 0

⇛ x - 10 = 0

⇛ x = 10

Thus, the cost of pen and pencil are:

• Cost of pen = Rs. 10
• Cost of pencil = Rs. 5