Question

The price of 2 pens and 3 notebooks is 40 rupees; and the price of 2 pens and 5 notebooks is 60 rupees. What is the price of a pen? And the price of a notebook?​

Answer 1

Step-by-step explanation:

Let the price of 1 pen =Rs. X

Let the price of 1 notebook = Rs. Y

Hence 2x +3y= 40 - (1)

And 2x + 6 y = 60 - (2)

Subtract eq (1) from eq (2 )

Then 3y = 20

Hence y = 20/3 Rs.

Put the value of y in eq (1)

Then 2x + 3×(20/3) =40

2x +20 = 40

2x = 20

x = 10 Rs

Hence the price of 1 pen is 10 Rs. and the price of 1 notebook is 20/ 3 Rs.

Answer 2

Answer :-

Now to get the price of 2 pens we need only subtract the price of the 3 notebooks from 40 rupees. That is 40 - 30 = 10 rupees so, the price of a pen is 5 rupees

• We can do this by taking the price of a pen as x rupees, the price of a notebook as y rupees

The price of 2 pens and 3 notebooks is 40 rupees

• 2x + 3y = 40

The price of 2 pens and 5 notebooks is 60 rupees

• 2x + 5y = 60

The increase in due to 2 extra notebooks

• (2x + 5y) - (2x + 3y) = 2y

The increase is 20 rupees

• 60 - 40 = 20

The price of 2notebooks is 20 rupees

• 2y = 20

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The price of a notebook is 10 rupees ==> y = 10

__________________________

The price of 2 pens is 30 rupees substracted from 40

• 2x = 40 - (3×10) = 10

__________________________

The price of a pen is 5 rupees ==> x = 5

__________________________

• Notebook ==> 10rupees
• Pen ==> 5 rupees