Question

7 chairs and 4 tables fora classroom cost Rs 7000 while 5 chairs and 3 tables cost Rs 5080. find the cost of each chair and that of each table

Answer 1

Let the cost of chairs be x and the cost of tables be y:

Then we get two equations:

7x + 4y = 7000

5x + 3y = 5080

Solving these two equations we get the value of x = 680 and value of y = 560

Answer 2

$\huge\underline\mathrm{SoLution:-}$

➡ Let the cost of a chair be Rs. x and table be Rs. y

⚫ According to question :-

$\longrightarrow$7x+ 4y = 7000 -----1)

$\longrightarrow$5x + 3y = 5080 ------1)

➡ Multiply by '3' and '4' in equation 1) & 2) respectively.

$\longrightarrow$ 21x + 12y = 21000

$\longrightarrow$ 20x + 12y = 20320

⭐ By elimination method, the value of x is 680

➡ put the value of x in eq.1)

$\longrightarrow$7(680) + 4y = 7000

$\longrightarrow$ 4760 + 4y = 7000

$\longrightarrow$ 4y = 7000- 4760

$\longrightarrow$ 4y = 2240

$\longrightarrow$ y = 560

Thus, the cost of a chair is Rs.680 and the cost of a table is Rs. 560

$\huge\underline\mathrm{ThAnKs....}$