Question

4 tables and 3 chairs, together, cost Rs 2,250 and 3 tables and 4 chairs cost Rs 1950. Find the cost of 2 chairs and 1 table.

Answer 1

Let the cost of a table be Rs x and that of chairs be. Rs y Then,

4x + 3y = 2250 ....(i)

3x + 4y = 1950 ....(ii)

Multiplying equation (i) by 4 and equation (ii) by 3, we get

16x + 12y = 9000  ...(iii)

9x + 12y = 5850 .....(iv)

Subtracting equation (iv) by equation (iii), we get

16x - 9x = 9000 - 5850

=> 7x = 3150

`=> x = 3150/7 = 450`

Putting x = 450 in equation (i), we get

`4 xx 450 + 3y = 2250`

=> 1800 + 3y = 2250

=> 3y = 2250 - 1800

=> 3y = 450

`=> y = 450/3 = 150`

`=> 2y = 2 xx 150 = 300`

Cost of 2 chairs = Rs 300 and cost of 1 table = Rs 450

∴ The cost of 2 chairs and 1 table = 300 + 450 =  Rs 750