the price of 2 pens and 3 notebook is 40 rupees also the price of 2 pens and 5 notebooks are 60 rupees. what is the price of a pen what is the price of a notebook
Answers
Answer:
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.
Let the price of one pen be ' x'
Let the price of one notebook be 'y'
According to first condition,
2x + 3y = 40 ----> 1
According to second condition,
2x + 5y = 60 -----> 2
Subtracting 1 from 2
2x + 5y = 60
2x + 3y = 40
__________
0 + 2y = 20
y = 20/2
y = 10
Substituting y = 10 in equation 1
2x + 3y = 40
2x + 3(10) = 40
2x + 30 = 40
2x = 40 - 30
2x = 10
x = 10/2
x = 5
Therefore, the price of a pen is x = 5 and the price of notebook is y = 10 .