Question

3 chair and 2 table cost 700 and 5 chair and 3 table cost 1100 what is the cost of 1 chair and 2 table

Answer 1

Answer:

Rs. 500

Step-by-step explanation:

let's chair is c and table is t

3c+2t=700 (i)

5c+3t=1100 (ii)

multiple equation (i) by 3 and equation (ii) by 2

9c+6t=2100

10c+6t=2200

therefore, c=100

put the value of c in equation (i)

3*100+2t*=700

2t=400

t=200

so, 1c+2t=100+2(200)

=500/-

Answer 2

Answer:

cost of 1 chair = Rs. 100

cost of 2 table = Rs. 400

Step-by-step explanation:

In first case-

Let the cost of 1 chair be Rs. X.

Cost of 3 chair = 3x

Cost of 2 table will be = 700 - 3x

Cost of 1 table = (700-3x)/2

Now, in other case-

Cost of 5 chair = 5x

Cost of 3 table = 1100 - 5x

Cost of 1 table = (1100-5x)/3

Hence-

(1100-5x)/3 = (700-3x)/2

2200 - 10x = 2100 - 9x

2200 - 2100 = 10x - 9x

X = 100

Hence cost of 1 chair = Rs. 100

cost of 1 table = (1100 - 5*100)/3 = (1100 - 500)/3 = 600/3 = Rs. 200

Hence cost of 2 table = 2*200 = Rs. 400