Question

The price of 3 note books and 8 pens is 100 rupees . The price of 2 note books and 5 pens is 65 rupees . What is the price of a note book ? What is the price of a pen ?​

Answer 1

Answer:

ok

Step-by-step explanation:

Answer 2

Given,

Price of 3 note books + Price of 8 pens = Rs. 100

Price of 2 note books + Price of 5pens = Rs. 65

To find,

Price of a notebook and price of a pen.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

Let,

Price of 1 notebook = Rs. x

Price of 1 pen = Rs. y

So,

Price of 3 notebooks = (3×x) = Rs. 3x

Price of 8 pens = (8×y) = Rs. 8y

Price of 2 notebooks = (2×x) = Rs. 2x

Price of 5 pens = (5×y) = Rs. 5y

According to the data mentioned in the question :

3x+8y = 100

2×(3x+8y) = 2×100

6x + 16y = 200....(1)

And,

2x+5y = 65

3×(2x+5y) = 3×65

6x+15y = 195....(2)

Subtracting (2) from (1), we get -

+6x +16y = +200

+6x +15y = +195

- - -

______________

y = 5

Putting value of y into eqn. (1) :

6x + (16×5) = 200

6x + 80 = 200

6x = 120

x = 20

Hence, price of one notebook is Rs. 20 and price of one pen is Rs. 5