Question

Three chairs and two tables cost 1850. Five chairs and three tables cost *2850. Find the cost of two
chairs and two tables.
​

Answer 1

Answer:

five chairs and three tables cost 2850. then the total cost of one chair and one table is? So, Cost of one chair is 150 rupees and that of one table is 700 rupees.

hope u will mark it as brainlieat

Answer 2

ANSWER

Let the cost of one chair and one table be x and y

cost of 3 chairs and 2 tables is Rs. 1850 (Given)

∴ 3x+2y=1850 ⟶eq

n

(i)

cost of 5 chairs and 3 tables is Rs. 2850

∴ 5x+3y=2850 ⟶eq

n

(ii)

Multiplying eq

n

(i) by 3, we get

9x+6y=5550 ⟶eq

n

(iii)

Multiplying eq

n

(ii) by 2, we get

10x+6y=5700 ⟶eq

n

(iv)

Subtracting eq

n

(iii) from (iv), we have

10x+6y−9x−6y=5700−5550

⇒ x=150

Substituting the value of x in eq

n

(i), we get

3×150+2y=1850

⇒ 2y=1850−450

⇒ y=700

Hence, the cost of 1 chair and 1 table is Rs. 150 and Rs. 700 rspectively.

∴ total cost of one chair and one table =x+y=700+150=850

Hence, total cost of one chair and one table is Rs. 850.