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 solving the equations graphically.​

Answer 1

Given :

• 2 tables and 3 chairs together cost Rs. 2000 whereas 3 tables and 2 chairs together cost Rs 2500

To Find :

• The cost of 1 table and 5 chairs.

Solution :

According to the question,

Let,

• The cost of 1 table and 1 chair be x & y.

2x + 3y = 2000 ...(i)

3x + 2y = 2500 ...(ii)

From equation (i),

2x + 3y = 2000

x = 2000 - 3y/2

Putting the value of x in equation (ii)

→ 3x + 2y = 2500

→ 3(2000 - 3y/2) + 2y = 2500

→ 6000 - 9y/2+ 2y = 2500

→ 6000 - 9y + 4y = 2500 × 2

→ 6000 - 5y = 5000

→ -5y = 5000 - 6000

→ -5y = - 1000

→ y = 200

Substituting the value of x in equation (i)

→ 2x + 3y = 2000

→ 2x + 3(200) = 2000

→ 2x + 600 = 2000

→ 2x = 1400

→ x = 700

So, the cost of 1 table is Rs 700

and the cost of 5 chair is 5 × 200 = Rs 1000