Question

4chairs and 3 tables cost £2100 and
5 chairs and 2 tables coste £ 1750. Find
the cost of a chair and a table separately​

Answer 1

Answer:

Cost of each chair = 150 and cost of each table = 500

Step-by-step explanation:

let the no.of chairs= x and no. of tables = y

Accor ding to the question 4x + 3y = 2100......... (1)

5x + 2y = 1750.......... (2)

on solving (1) and (2)

x = 150 and y= 500

Answer 2

Step-by-step explanation:

let the cost of chair be 'a' and cost of table be 'b'

According to the 1st given condition :

4a+3b=2100___(I)

According to the 2nd given condition:

5a+2b=1750___(II)

multiplying (I) by 2 and (II) by 3

8a+6b=4200___(III)

15a+6b=5250___(IV)

subtracting (IV) by (III)

15a+6b=5250

-(8a+6b=4200)

- - -

7a=1050

a=1050/7

a=150

substituting a=150 in (II)

5x150+2b=1750

750+2b=1750

2b=1750-750

2b=1000

b=1000/2

b=500

cost of a chair is £150 and cost of a table is £500

cost of a chair is £150 and cost of a table is £500Their total cost=150+500=£650