Question

3 chairs and 2 tables cost 700 and 5 chairs and 3 tables cost 1100 find the cost of 2 chair and 2 table

Answer 1

Let the cost of a chair be x.

Let the cost of a table be y.

Given that 3 chairs and 2 tables cost 700 rupees

3x + 2y = 700 ------ (1)

Given that 5 chairs and 3 tables cost 1100 rupees.

5x + 3y = 1100 ------ (2)

On solving (1)*3 and (2)*2, we get

10x + 6y = 2200

9x + 6y = 2100
----------------------

x = 100.


Substitute x = 100 in (1), we get

3x + 2y = 700

3(100) + 2y = 700

300 + 2y = 700

2y = 700 - 300

2y = 400

y = 400/2

y = 200.


Therefore the cost of 2 chairs = 2 * 100

= 200 rupees.


Therefore the cost of 2 tables = 2 * 200

= 400 rupees.


Verification:

3x + 2y = 700

3(100) + 2(200) = 700

300 + 400 = 700

700 = 700.



5x + 3y = 1100

5(100) + 3(200) = 1100

500 + 600 = 1100

1100 = 1100.

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