Question

2 tables and 3 chairs together cost rupees 2000 Rs 3 tables and 2 chairs together cost rupees 2500 find the total cost of one table and 5 chairs
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Answer 1

Step-by-step explanation:

let tables x

chairs y

then 2x + 3y =2000 -----------equation 1

and 3x + 2y =2500 ---------equation 2

3* equation 1 =equation 3

2* equation 2 =equation 4

equation 3 - equation 4

6x+9y=6000

-6x-4y=-5000

then 5y = 1000

y = 200

and x= 700

so table cost 700

chair cost 200

hence

1table and 5 chairs =1(700)+5(200)

=1700

Answer 2

Given :

• 2 tables and 3 chairs together cost rupees 2000 Rs 3 tables

• 2 chairs together cost rupees 2500

To find :

• The total cost of one table and 5 chairs =?

Step-by-step explanation:

Let the cost of a table and a chair be ₹ x and ₹ y respectively.

The cost of 2 tables and 3 chairs = ₹ 2000

2x + 3y = 2000 .... (1)

The cost of 3 tables and 2 chairs = ₹ 2500

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

Multiplying (1) by 2 and (2) by 3, we get

4x + 6y = 4000 .... (3)

9x + 6y = 7500 .... (4)

Subtracting (3) from (4), we get

5x = 3500

x = 3500/5

x = 700.

Putting x = 700 in (1),we get

2 × 700 + 3y = 2000

1400 + 3y = 2000

3y = 600

y = 600/3

y = 200

Now,

The cost of 1 table and 5 chairs = ₹ ( 700 + 5 × 200) = ₹ 1700

Therefore, The cost of 1 table and 5 chairs = ₹ 1700.