Question

8 chairs and 5 tables for aclasdrom cost rupees 10500 while 5 chairs and 3 tables cost rupees 6450 find the cost of chairs and that of each tables

Answer 1

Let the number of chairs be X
Let the number of tables be Y

According to the question,
8X + 5Y = 10500 —1
5X + 3Y = 6450 —2

Multiply equation 1 by 3 and equation 2 by 5
=> 24X + 15Y = 31500
25X + 15Y = 32250
(-) (-) (-)
_________________
-1X + 0 = -750

X = 750

putting value of X in equation 2

=> 5(750) + 3Y = 6450

3750 + 3Y = 6450

3Y = 6450 - 3750

Y = 2700/ 3

Y = 900


therefore, cost of 1 chair = Rs. 750 and cost of 1 table = Rs. 900

Answer 2

$\huge\underline{\sf SoLution}$

Let the cost of a chair be ₹ x and that of a table be ₹ y. Then,

➡ 8x + 5y = 10500 -----1)

and,

5x + 3y = 6450 -------2)

➡ Multiply by 3 and 5 in eq. 1 and 2 respectively

➡ 24x + 15y = 31500

and,

25x + 15y = 32250

By using Elimination method, we get

x = 750

Put the value of x in equation 2

5(750) + 3y = 6450

3750 + 3y = 6450

3y = 6450-3750

3y = 2700

y = 900

Thus the cost of a chair is ₹ 750 and the cost of a table is ₹ 900

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