Question

2 tables and 3 chairs together cost Rs.2000 whereas 3 tables and 2 chairs together cost Rs.2500.find the total cost of 1 table and 5 chairs

Answer 1

Let the cost of a table is Rs t and cost of a chair is Rs c.

Given

2t + 3c = Rs 2000 ----------------1

And  

3t + 2c = Rs 2500 -----------------2

Solve these two linear equations

Multiply eqn 1 by 3 and eqn 2 by 2

6t + 9c = 6000 -----------3

6t + 4c = 5000------------4

Subtract Eqn 4 from 3

5c = 1000

c = 200

Substitute the value of c in eqn 1

2t + 3*200 = 2000

2t + 600 = 2000

2t = 1400

t = 700

The cost of a table is Rs 700 and Cost of 5 chairs = 5 * 200 = Rs 1000.

Answer 2

Answer:

Step-by-step explanation:

Let the cost of a table is Rs t and cost of a chair is Rs c.

Given

2t + 3c = Rs 2000 ----------------1

And  

3t + 2c = Rs 2500 -----------------2

Solve these two linear equations

Multiply eqn 1 by 3 and eqn 2 by 2

6t + 9c = 6000 -----------3

6t + 4c = 5000------------4

Subtract Eqn 4 from 3

5c = 1000

c = 200

Substitute the value of c in eqn 1

2t + 3*200 = 2000

2t + 600 = 2000

2t = 1400

t = 700

The cost of a table is Rs 700 and Cost of 5 chairs = 5 * 200 = Rs 1000.

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