Question

4 tables and 3 chairs cost rs 2250 together and 3 tables and 4 chairs cost 1950 together .find the cost of 2 tables and 1 chair?

Answer 1

let tables be T and chairs be C
4T+3T =2250
+3T+4C=1950
adding them we get 7T+7C = 4200 so T+C = 600-------+eq1
subtracting thrm we get
T -C=300--------eq2
adding eq1 and eq2
2T=900
T = 450
substituting it value of C = 150
so 2T+C= 2×450+150 = 1050 rs

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 = 4500

cost of 2 tables and 1 chair = 2(450) + 150

= 900 + 150

= 1050