Question

the price of one pen and four notebooks is 40 rupees.The price of five pens and three notebooks is 47 rupees.what is the price of each?​

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:

Let the price of 1 notebook= x

price of 1 pen = y

A/Q 1

y+4x= 40 -------------(1)

A/Q 2

5y+3x= 47 ---------------(2)

by eq.(1)

y=40-4x--------------(3)

Put value of y in eq.(2)

=> 5(40-4x) + 3x = 47

=> 200-20x + 3x = 47

=> -17x = 47-200

=> x = (-153/-17)

=> x = 9

Put value of x in eq.(3)

=> y = 40-36

=> y = 4

Cost of 1 pen = Rs.4

Cost of 1 book = Rs.9