Question

2 books and 3 files costs Rs. 850 and 3 books and 2 files costs Rs.700. Find the cost of one book and one file.( Let cost of one book = x, cost of one file = y )​

Answer 1

Answer:

Cost of book (x) = 80 rupees

cost of file (y) = 230 rupees

Step-by-step explanation:

suppose cost of a book = x

Suppose cost of a file = y

according to first condition equation will be.

2x + 3y = 850...........(1)

according to second condition, equation will be.

3x + 2y = 700..........(2)

now, to balance both equations.... let the,

2x + 3y = 850......x3

6x + 9y = 2550....(3)

3x + 2y = 700.........x2

6x + 4y = 1400......(4)

so let the (3) -(4)

6x + 9y = 2550

6x + 4y = 1400

- - -

--------------------------

0 + 5y = 1150

5y = 1150

y = 1150/5

y = 230

let the y = 230 put in (1)

2x + 3 ( 230 ) = 850

2x + 690 = 850

2x = 850-690

2x = 160

x = 160/2

x = 80

cost of book ( x) = 80 rupees

cost of file (y) = 230 rupees