Question

4 table 3 chairs together cost rupees 2250 and 3 table and 4 chairs cost rupees 1950 find the cost of 2 chair and 1 table

Answer 1

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Answer 2

Given :-

4 tables and 3 chairs together cost ₹ 2250 and 3 tables and 4 chairs cost ₹ 1950

To Find :-

Cost of 2 chairs and table?​

Solution :-

Let the cost of table be t and chair be c

Now

4t + 3c = 2250 (1)

3t + 4c = 1950(2)

Multiply 1 by 3

3(4t + 3c) = 3(2250)

12t + 9c = 6750

Multiply 2 by 4

4(3t + 4c) = 4(1950)

12t + 16c = 7800

Subtract both

12t + 16c - 12t - 9c = 7800 - 6750

7c = 1050

c = 1050/7

c = 150

Using 1  

4t + 3(150) = 2250

4t + 450 = 2250

4t = 2250 - 450

4t = 1800

t = 1800/4

t = 450

Now

Cost of 2 chair and one table = 2(150) + 450

= 300 + 450

= 750